<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
    <periodOfReport>2003-10-31</periodOfReport>
    <notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000320187</issuerCik>
        <issuerName>NIKE INC</issuerName>
        <issuerTradingSymbol>nke</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000903855</rptOwnerCik>
            <rptOwnerName>KNIGHT PHILIP H</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE BOWERMAN DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BEAVERTON</rptOwnerCity>
            <rptOwnerState>OR</rptOwnerState>
            <rptOwnerZipCode>97005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>
  <nonDerivativeTable>
    <nonDerivativeHolding>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>7494</value>
              <footnoteId id="F1" />
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeHolding>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>2200</value>
              <footnoteId id="F2" />
              <footnoteId id="F3" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.45</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5233500</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>3800</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.46</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5229700</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>2000</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.47</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5227700</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>3000</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.48</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5224700</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>6700</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.49</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5218000</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>1700</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.50</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5216300</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>1900</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.51</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5214400</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>2400</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.52</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5212000</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>300</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.54</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5211700</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>1600</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.57</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5210100</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>3500</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.58</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5206600</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>100</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.60</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5206500</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>2200</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.61</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5204300</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>2100</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.70</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5202200</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>9800</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.71</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5192400</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>900</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.72</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5191500</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>2100</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.73</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5189400</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>2200</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.74</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5187200</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>7000</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.75</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5180200</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Class B Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-31</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-10-31</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>1300</value>
              <footnoteId id="F2" />
          </transactionShares>
          <transactionPricePerShare>
              <value>63.77</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5178900</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>By Trust</value>
              <footnoteId id="F4" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
  </nonDerivativeTable>
  <derivativeTable>
    <derivativeHolding>
      <securityTitle>
          <value>Class A Common Stock</value>
      </securityTitle>
      <conversionOrExercisePrice>
              <footnoteId id="F5" />
      </conversionOrExercisePrice>
      <exerciseDate>
              <footnoteId id="F5" />
      </exerciseDate>
      <expirationDate>
              <footnoteId id="F5" />
      </expirationDate>
      <underlyingSecurity>
          <underlyingSecurityTitle>
              <value>Class B Common Stock</value>
          </underlyingSecurityTitle>
          <underlyingSecurityShares>
              <footnoteId id="F5" />
          </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>71655047</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
          <value>Class A Common Stock</value>
      </securityTitle>
      <conversionOrExercisePrice>
              <footnoteId id="F5" />
      </conversionOrExercisePrice>
      <exerciseDate>
              <footnoteId id="F5" />
      </exerciseDate>
      <expirationDate>
              <footnoteId id="F5" />
      </expirationDate>
      <underlyingSecurity>
          <underlyingSecurityTitle>
              <value>Class B Common Stock</value>
          </underlyingSecurityTitle>
          <underlyingSecurityShares>
              <footnoteId id="F5" />
          </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>65224</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>Indirectly Held (Corp)</value>
              <footnoteId id="F6" />
          </natureOfOwnership>
      </ownershipNature>
   </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
          <value>Class A Common Stock</value>
      </securityTitle>
      <conversionOrExercisePrice>
              <footnoteId id="F5" />
      </conversionOrExercisePrice>
      <exerciseDate>
              <footnoteId id="F5" />
      </exerciseDate>
      <expirationDate>
              <footnoteId id="F5" />
      </expirationDate>
      <underlyingSecurity>
          <underlyingSecurityTitle>
              <value>Class B Common Stock</value>
          </underlyingSecurityTitle>
          <underlyingSecurityShares>
              <footnoteId id="F5" />
          </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>3422</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>Indirectly Held (LP)</value>
              <footnoteId id="F7" />
          </natureOfOwnership>
      </ownershipNature>
   </derivativeHolding>
  </derivativeTable>
<footnotes>
   <footnote id="F1">Includes 1859 shares granted under the NIKE, Inc. Long Term Incentive Plan.          </footnote>
   <footnote id="F2">Transaction pursuant to a Rule 10b5-1 Trading Plan.</footnote>
   <footnote id="F3">This Form 4 contains twenty of seventy-eight transactions that were executed on October 31, 2003. A form containing the first twenty transactions was filed prior to this form.  Two additional forms were filed following this filing, which contain the balance of the transactions executed on October 31, 2003.     </footnote>
   <footnote id="F4">Shares held by charitable remainder trust of which reporting person is a trustee and he and his wife are lifetime beneficiaries.  The reporting person disclaims any beneficial ownership interest except to the extent of his and his wife's pecuniary interest therein.          </footnote>
   <footnote id="F5">Class A Common Stock is convertible at any time on a one-for-one basis into Class B Common Stock with no expiration date.
  </footnote>
   <footnote id="F6">Shares held by a corporation owned by wife. The reporting person disclaims beneficial ownership of these securities and this report shall not be deemed an admission that the reporting person is the beneficial owner of such securities for purposes of Section 16 or any other purpose.          </footnote>
   <footnote id="F7">Shares held by a limited partnership in which a corporation owned by wife is a co-general partner.  The reporting person disclaims beneficial ownership of these securities and this report shall not be deemed an admission that the reporting person is the beneficial owner of such securities for purposes of Section 16 or any other purpose.          </footnote>
</footnotes>
<remarks></remarks>    <ownerSignature>
       <signatureName>/s/John F. Coburn III on behalf of Philip H. Knight</signatureName>
       <signatureDate>2003-11-04</signatureDate>
    </ownerSignature>
</ownershipDocument>

