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<!--XBRL Document Created with Wdesk from Workiva-->
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  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTotalLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTotalLabel"/>
  <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
    <link:label id="lab_cpt_VestingOfCurrentYearGrantsMember_label_en-US" xlink:label="lab_cpt_VestingOfCurrentYearGrantsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vesting of current year grants [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cpt_VestingOfCurrentYearGrantsMember" xlink:href="cpt-20230321.xsd#cpt_VestingOfCurrentYearGrantsMember"/>
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    <link:label id="lab_cpt_ChangeInValueOfPriorYearUnvestedSharesMember_label_en-US" xlink:label="lab_cpt_ChangeInValueOfPriorYearUnvestedSharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in value of prior year unvested shares [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cpt_ChangeInValueOfPriorYearUnvestedSharesMember" xlink:href="cpt-20230321.xsd#cpt_ChangeInValueOfPriorYearUnvestedSharesMember"/>
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    <link:loc xlink:type="locator" xlink:label="loc_cpt_YearEndUnvestedAwardsVestingInCurrentYearMember" xlink:href="cpt-20230321.xsd#cpt_YearEndUnvestedAwardsVestingInCurrentYearMember"/>
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    <link:loc xlink:type="locator" xlink:label="loc_cpt_ChangeInValueOfUnvestedSharesMember" xlink:href="cpt-20230321.xsd#cpt_ChangeInValueOfUnvestedSharesMember"/>
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    <link:label id="lab_cpt_DeductionForCompTableSharesMember_label_en-US" xlink:label="lab_cpt_DeductionForCompTableSharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deduction for comp table shares [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cpt_DeductionForCompTableSharesMember" xlink:href="cpt-20230321.xsd#cpt_DeductionForCompTableSharesMember"/>
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    <link:loc xlink:type="locator" xlink:label="loc_cpt_DividendsPaidOnUnvestedOutstandingSharesMember" xlink:href="cpt-20230321.xsd#cpt_DividendsPaidOnUnvestedOutstandingSharesMember"/>
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