<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><Version>2.4.0.8</Version><ReportLongName>010701 - Disclosure - Certain Relationships And Related Party Transactions</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column FlagID="0"><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><CurrencyCode /><FootnoteIndexer /><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><MCU><KeyName /><CurrencySymbol /><contextRef><ContextID>FROM_Jan01_2013_TO_Jun30_2013</ContextID><EntitySchema>http://www.sec.gov/CIK</EntitySchema><EntityValue>0000739708</EntityValue><PeriodDisplayName /><PeriodType>duration</PeriodType><PeriodStartDate>2013-01-01T00:00:00</PeriodStartDate><PeriodEndDate>2013-06-30T00:00:00</PeriodEndDate><Segments /><Scenarios /></contextRef><UPS /><CurrencyCode /><OriginalCurrencyCode /></MCU><CurrencySymbol /><Labels><Label Key="CalendarSupplement" Id="0" Label="6 Months Ended" /><Label Key="Calendar" Id="1" Label="Jun. 30, 2013" /></Labels></Column></Columns><Rows><Row FlagID="0"><Id>1</Id><IsAbstractGroupTitle>true</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>1</Level><ElementName>us-gaap_RelatedPartyTransactionsAbstract</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText /><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>xbrli:stringItemType</ElementDataType><SimpleDataType>string</SimpleDataType><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Certain Relationships And Related Party Transactions [Abstract]</Label></Row><Row FlagID="0"><Id>2</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>2</Level><ElementName>us-gaap_RelatedPartyTransactionsDisclosureTextBlock</ElementName><ElementPrefix>us-gaap_</ElementPrefix><IsBaseElement>true</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><PreferredLabelRole>terseLabel</PreferredLabelRole><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="FROM_Jan01_2013_TO_Jun30_2013" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;p style='margin-top:0pt; margin-bottom:6pt'&gt;&lt;font style="font-family:Times New Roman;font-size:11pt;font-weight:bold;margin-left:0px;"&gt;NOTE 7&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:11pt;font-weight:bold;"&gt; &amp;#8211; CERTAIN RELATIONSHIPS AND RELATED PARTY TRANSACTIONS&lt;/font&gt;&lt;/p&gt;&lt;p style='margin-top:0pt; margin-bottom:0pt'&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;margin-left:0px;"&gt;The Company&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt; is a party to a management ag&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;reement with certain affiliates&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt; of&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt; the Sponsors and certain other parties pursuant to which such affiliates of the Sponsors will provide management and financial advisory services until &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;2018&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;.  &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;These agreements require management fees to be paid to such affiliates of the Sponsors for such services at a rate not greater than $&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;15.0&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;&amp;#160;&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;million per year, plus reimbursable expenses.  &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;For the three months ended &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;June 30,&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt; 2013 and 2012&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;, the Company recognized &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;management fees and reimbursable expenses &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;of $&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;4&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;.0&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;&amp;#160;&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;million and $&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;4.0&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;&amp;#160;&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;million, respectively.&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;  For the six months ended &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;June 30,&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt; 2013 and 2012&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;, the Company recognized &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;management fees and reimbursable expenses &lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;of $&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;8&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;.&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;1&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;&amp;#160;million and $&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;8.0&lt;/font&gt;&lt;font style="font-family:Times New Roman;font-size:10pt;"&gt;&amp;#160;million, respectively.&lt;/font&gt;&lt;/p&gt;&lt;p style='margin-top:0pt; margin-bottom:0pt'&gt;&amp;#160;&lt;/p&gt;</NonNumbericText><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>nonnum:textBlockItemType</ElementDataType><SimpleDataType>na</SimpleDataType><ElementDefenition>The entire disclosure for related party transactions. Examples of related party transactions include transactions between (a) a parent company and its subsidiary; (b) subsidiaries of a common parent; (c) and entity and its principal owners; and (d) affiliates.</ElementDefenition><ElementReferences>Reference 1: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 850

 -SubTopic 10

 -Section 50

 -Paragraph 3

 -URI http://asc.fasb.org/extlink&amp;oid=6457730&amp;loc=d3e39603-107864



Reference 2: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 850

 -SubTopic 10

 -Section 50

 -Paragraph 4

 -URI http://asc.fasb.org/extlink&amp;oid=6457730&amp;loc=d3e39622-107864



Reference 3: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 850

 -SubTopic 10

 -Section 50

 -Paragraph 1

 -URI http://asc.fasb.org/extlink&amp;oid=6457730&amp;loc=d3e39549-107864



Reference 4: http://www.xbrl.org/2003/role/presentationRef

 -Publisher SEC

 -Name Regulation S-X (SX)

 -Number 210

 -Section 04

 -Paragraph b

 -Article 3A



Reference 5: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 235

 -SubTopic 10

 -Section S99

 -Paragraph 1

 -Subparagraph (SX 210.4-08.(k))

 -URI http://asc.fasb.org/extlink&amp;oid=6881521&amp;loc=d3e23780-122690



Reference 6: http://www.xbrl.org/2003/role/presentationRef

 -Publisher SEC

 -Name Regulation S-X (SX)

 -Number 210

 -Section 08

 -Paragraph k

 -Article 4



Reference 7: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 850

 -SubTopic 10

 -Section 50

 -Paragraph 6

 -URI http://asc.fasb.org/extlink&amp;oid=6457730&amp;loc=d3e39691-107864



Reference 8: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 850

 -SubTopic 10

 -Section 50

 -Paragraph 5

 -URI http://asc.fasb.org/extlink&amp;oid=6457730&amp;loc=d3e39678-107864



Reference 9: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Statement of Financial Accounting Standard (FAS)

 -Number 57

 -Paragraph 1-4

 -LegacyDoc This reference is SUPERSEDED by the Accounting Standards Codification effective for interim and annual periods ending after September 15, 2009.  This reference is included to help users transition from the previous accounting hierarchy and will be removed from future versions of this taxonomy.



</ElementReferences><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Certain Relationships And Related Party Transactions</Label></Row></Rows><Footnotes /><IsEquityReport>false</IsEquityReport><ReportName>Certain Relationships And Related Party Transactions</ReportName><MonetaryRoundingLevel>UnKnown</MonetaryRoundingLevel><SharesRoundingLevel>UnKnown</SharesRoundingLevel><PerShareRoundingLevel>UnKnown</PerShareRoundingLevel><ExchangeRateRoundingLevel>UnKnown</ExchangeRateRoundingLevel><HasCustomUnits>true</HasCustomUnits><IsEmbedReport>false</IsEmbedReport><IsMultiCurrency>false</IsMultiCurrency><ReportType>Sheet</ReportType><RoleURI>http://www.clearchannel.com/role/DisclosureCertainRelationshipsAndRelatedPartyTransactions</RoleURI><NumberOfCols>1</NumberOfCols><NumberOfRows>2</NumberOfRows></InstanceReport>
