Stock-Based Compensation - Narrative (Details)	3 Months Ended
Mar. 31, 2020 award shares
RSU
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares granted (in shares)	71,421
Vesting period	3 years
Market-based RSU
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares granted (in shares)	71,038
Performance-based RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares granted (in shares)	30,447
Types of performance-based RSUs \| award	2
Ultimate payout, minimum (as a percent)	0.00%
Ultimate payout, maximum (as a percent)	200.00%

Payout range maximum.

No definition available.

Name:	cuz_PayoutRangeMaximum
Namespace Prefix:	cuz_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Payout range minimum.

+ References

No definition available.

+ Details

Name:	cuz_PayoutRangeMinimum
Namespace Prefix:	cuz_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Types of performance-based RSUs

+ References

No definition available.

+ Details

Name:	cuz_TypesofperformancebasedRSUs
Namespace Prefix:	cuz_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

- Definition

Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (a)(1)
-URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (c)(2)(iii)(1)
-URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_AwardTypeAxis=us-gaap_RestrictedStockUnitsRSUMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AwardTypeAxis=cuz_MarketBasedRestrictedStockUnitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AwardTypeAxis=cuz_PerformanceBasedRestrictedStockUnitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: