-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 CgF2vwujo2PkKkBJ/XSrLA3xGivvmHWX/I8SuuOadnKUm17++338zregyGPLpsXb
 Q4LKRSz0Qwf7GdyJyVlWKg==

<SEC-DOCUMENT>0001140361-10-035033.txt : 20100825
<SEC-HEADER>0001140361-10-035033.hdr.sgml : 20100825
<ACCEPTANCE-DATETIME>20100825175147
ACCESSION NUMBER:		0001140361-10-035033
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100825
FILED AS OF DATE:		20100825
DATE AS OF CHANGE:		20100825

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			CROWELL RICHARD B
		CENTRAL INDEX KEY:			0001186062

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-15759
		FILM NUMBER:		101038513

	MAIL ADDRESS:	
		STREET 1:		PINEVILLE GENERAL OFFICE
		STREET 2:		2030 DONAHUE FERRY RD PO BOX 5000
		CITY:			PINEVILLE
		STATE:			LA
		ZIP:			71361-5000

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			CLECO CORP
		CENTRAL INDEX KEY:			0001089819
		STANDARD INDUSTRIAL CLASSIFICATION:	ELECTRIC SERVICES [4911]
		IRS NUMBER:				721445282
		STATE OF INCORPORATION:			LA
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		2030 DONAHUE FERRY ROAD
		CITY:			PINEVILLE
		STATE:			LA
		ZIP:			71360-5226
		BUSINESS PHONE:		3184847400

	MAIL ADDRESS:	
		STREET 1:		PO BOX 5000
		CITY:			PINEVILLE
		STATE:			LA
		ZIP:			71361-5000

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	CLECO HOLDING CORP
		DATE OF NAME CHANGE:	19990630
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2010-08-25</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001089819</issuerCik>
        <issuerName>CLECO CORP</issuerName>
        <issuerTradingSymbol>CNL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001186062</rptOwnerCik>
            <rptOwnerName>CROWELL RICHARD B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>P.O. BOX 5000</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PINEVILLE</rptOwnerCity>
            <rptOwnerState>LA</rptOwnerState>
            <rptOwnerZipCode>71361-5000</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, $1.00 par</value>
            </securityTitle>
            <transactionDate>
                <value>2010-08-25</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>400</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>27.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>46695</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock, $1.00 par</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>79676</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LLC, trusts and spouse</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Does not include the following shares which Mr. Crowell disclaims beneficial ownership of: 8,319 shares held in trust for the benefit of the reporting person's son and daughter; 22,439 shares held in trust for the benefit of the reporting person's son; 22,344 shares held in trust for the benefit of the reporting person's daughter; 31,266 shares held by the reporting person's son; 1,000 shares held in trust for the benefit of the reporting person's grandson; 35,196 shares held by the reporting person's daughter; 8,090 shares held by the reporting person's daughter-in-law; 1,290 shares held by the reporting person's son-in-law; and 1,290 shares held in trust for the benefit of the reporting person's grandson.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Judy P. Miller, Atty-in-fact for Richard B. Crowell</signatureName>
        <signatureDate>2010-08-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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