<?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>007 - Disclosure - Nature of Operations and Continuance of Business</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>Context_3ME__30-Jun-2013</ContextID><EntitySchema>http://www.sec.gov/CIK</EntitySchema><EntityValue>0001553404</EntityValue><PeriodDisplayName /><PeriodType>duration</PeriodType><PeriodStartDate>2013-04-01T00:00:00</PeriodStartDate><PeriodEndDate>2013-06-30T00:00:00</PeriodEndDate><Segments /><Scenarios /></contextRef><UPS /><CurrencyCode /><OriginalCurrencyCode /></MCU><CurrencySymbol /><Labels><Label Key="CalendarSupplement" Id="0" Label="3 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_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract</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>Nature of Operations and Continuance of Business [Abstract]</Label></Row><Row FlagID="0"><Id>2</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>2</Level><ElementName>us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock</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>verboseLabel</PreferredLabelRole><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="Context_3ME__30-Jun-2013" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;div align="center"&gt;
&lt;table style="width: 100%; font-family: times new roman; font-size: 10pt;"  border="0" cellspacing="0" cellpadding="0"&gt;
&lt;tr valign="top"&gt;
&lt;td style="width: 18pt;"&gt;
&lt;div style="text-indent: 0pt; margin-left: 0pt; margin-right: 0pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt; font-weight: bold;"&gt;1.&lt;/font&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;td style="text-align: justify;"&gt;
&lt;div style="text-align: justify;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt; font-weight: bold;"&gt;Nature of Operations and Continuance of Business&lt;/font&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;
&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block;"&gt;&amp;#160;&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block; margin-left: 18pt; margin-right: 0pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;&lt;font style="display: inline;"&gt;Pacific Green Technologies Inc.&lt;/font&gt; (the &amp;#8220;Company&amp;#8221;) was incorporated in Delaware on March 10, 1994, under the name of Beta Acquisition Corp. In September 1995, the Company changed its name to In-Sports International, Inc. In August 2002, the Company changed its name to ECash, Inc. On June 13, 2012, the Company changed its name to Pacific Green Technologies Inc.&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block; margin-left: 18pt; margin-right: 0pt;"&gt;&amp;#160;&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block; margin-left: 18pt; margin-right: 0pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;On June 14, 2012, the Company acquired Pacific Green Technologies Limited (&amp;#8220;PGT Limited&amp;#8221;) in exchange for the issuance of 5,000,000 shares of common stock and a $5,000,000 promissory note (Refer to Note 6). The transaction resulted in the former shareholders of PGT Limited collectively owing a majority of the issued and outstanding common shares of PGT Inc. The accounting principle applicable to a reverse takeover (&amp;#8220;RTO&amp;#8221;) was applied to account for this transaction. Under this basis of accounting, PGT Limited has been identified as the acquirer and, accordingly, these consolidated financial statements are a continuation of the financial statements of PGT Limited. The consolidated statement of operations and comprehensive loss include the operations of PGT Limited for the period from April 5, 2011 (inception) to June 30, 2013 and the operations of the Company. from June 15, 2012 to June 30, 2013.&lt;/font&gt;&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block; margin-left: 18pt; margin-right: 0pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block; margin-left: 18pt; margin-right: 0pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;On May 15, 2013, the Company acquired Pacific Green Energy Parks Limited (&amp;#8220;PGEP&amp;#8221;) and its wholly-owned subsidiary, Energy Park Sutton Bridge (&amp;#8220;EPSB&amp;#8221;) in exchange for a cash payment of $100 and the issuance of 3,500,000 shares of common stock. In addition to the acquisition agreement, the Company is committed to issuing a further $3,000,000 payable in common shares in the event PGEP either purchased the property or secured a lease permitting PGEP to operate a biomass power plant facility and a further $33,000,000 payable in common shares in the event PGEP secures sufficient financing to construct the facility (Refer to Note 10(e)). The consolidated statement of operations and comprehensive loss include the operations of PGEP and EPSB for the period from May 16, 2013 to June 30, 2013.&lt;/font&gt;&lt;/font&gt;&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block; margin-left: 18pt; margin-right: 0pt;"&gt;&amp;#160;&lt;/div&gt;
&lt;div style="text-align: justify; text-indent: 0pt; display: block; margin-left: 18pt; margin-right: 0pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;&lt;font style="display: inline; font-family: times new roman; font-size: 10pt;"&gt;These consolidated financial statements have been prepared on a going concern basis, which implies the Company will continue to realize its assets and discharge its liabilities in the normal course of business. The Company has never generated revenues since inception and has never paid any dividends and is unlikely to pay dividends or generate earnings in the immediate or foreseeable future. The continuation of the Company as a going concern is dependent upon the continued financial support from its shareholders and note holders, the ability of the Company to obtain necessary equity financing to continue operations, and the attainment of profitable operations. As at June 30, 2013, the Company has a working capital deficiency of $8,153,362 and has an accumulated deficit of $7,013,838 since inception. These factors raise substantial doubt regarding the Company&amp;#8217;s ability to continue as a going concern. These consolidated financial statements do not include any adjustments to the recoverability and classification of recorded asset amounts and classification of liabilities that might be necessary should the Company be unable to continue as a going concern.&lt;/font&gt;&lt;/font&gt;&lt;/div&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 organization, consolidation and basis of presentation of financial statements disclosure.</ElementDefenition><ElementReferences>Reference 1: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 810

 -SubTopic 10

 -Section 50

 -Paragraph 8

 -URI http://asc.fasb.org/extlink&amp;oid=28200181&amp;loc=SL6228881-111685



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 720

 -SubTopic 15

 -URI http://asc.fasb.org/subtopic&amp;trid=2122524



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 205

 -SubTopic 10

 -Section 50

 -Paragraph 1

 -URI http://asc.fasb.org/extlink&amp;oid=6359566&amp;loc=d3e326-107755



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 235

 -SubTopic 10

 -Section 50

 -Paragraph 3

 -URI http://asc.fasb.org/extlink&amp;oid=6367646&amp;loc=d3e18780-107790



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 205

 -SubTopic 10

 -Section 45

 -Paragraph 3

 -URI http://asc.fasb.org/extlink&amp;oid=7668296&amp;loc=d3e288-107754



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 810

 -SubTopic 10

 -URI http://asc.fasb.org/subtopic&amp;trid=2197480



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 810

 -SubTopic 10

 -Section 50

 -Paragraph 1

 -URI http://asc.fasb.org/extlink&amp;oid=18733093&amp;loc=d3e5614-111684



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 915

 -SubTopic 235

 -Section 50

 -Paragraph 1

 -URI http://asc.fasb.org/extlink&amp;oid=6472506&amp;loc=d3e38932-110933



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

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 852

 -SubTopic 10

 -URI http://asc.fasb.org/subtopic&amp;trid=2209116



Reference 10: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 272

 -SubTopic 10

 -Section 50

 -Paragraph 3

 -URI http://asc.fasb.org/extlink&amp;oid=6373374&amp;loc=d3e70478-108055



Reference 11: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 275

 -SubTopic 10

 -URI http://asc.fasb.org/subtopic&amp;trid=2134480



Reference 12: http://www.xbrl.org/2003/role/presentationRef

 -Publisher FASB

 -Name Accounting Standards Codification

 -Topic 205

 -SubTopic 10

 -URI http://asc.fasb.org/subtopic&amp;trid=2122150



</ElementReferences><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Nature of Operations and Continuance of Business</Label></Row></Rows><Footnotes /><IsEquityReport>false</IsEquityReport><ReportName>Nature of Operations and Continuance of Business</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.pacificgreen.com/role/NatureOfOperationsAndContinuanceOfBusiness</RoleURI><NumberOfCols>1</NumberOfCols><NumberOfRows>2</NumberOfRows></InstanceReport>
