Filed Pursuant to Rule 424(b)(3)
                                                    Registration No. 333-110348


PROSPECTUS SUPPLEMENT NO. 14
(TO PROSPECTUS DATED DECEMBER 4, 2003)

                            (CENTERPOINT ENERGY LOGO)

                                  $575,000,000
                     3.75% Convertible Senior Notes due 2023
                                       and
               Common Stock Issuable Upon Conversion of the Notes

         This document supplements our prospectus dated December 4, 2003,
relating to $575,000,000 aggregate principal amount of our 3.75% Convertible
Senior Notes Due 2023 and the common stock issuable upon conversion of the
notes. You should read this prospectus supplement in conjunction with the
accompanying prospectus, which is to be delivered by selling securityholders to
prospective purchasers along with this prospectus supplement. The information in
the following table supplements the information set forth under the caption
"Selling Security Holders" in the prospectus.



                                                   PRINCIPAL AMOUNT OF                   NUMBER OF SHARES
                                                    NOTES BENEFICIALLY   PERCENTAGE OF   OF COMMON STOCK     PERCENTAGE OF
                                                      OWNED THAT MAY         NOTES             THAT          COMMON STOCK
                       NAME                              BE SOLD          OUTSTANDING      MAY BE SOLD      OUTSTANDING (1)
                       ----                        -------------------    -------------  ----------------   ---------------
                                                                                                
National Benefit Life Insurance Company(2).......      $   35,000               *               3,022              *
Primerica Life Insurance Company(3)..............      $  345,000               *              29,793              *
The Standard Fire Insurance Company..............      $  426,000               *              36,788              *
The Travelers Life and Annuity Company(4)........      $  177,000               *              15,285              *
The Travelers Indemnity Company..................      $  426,000               *              36,788              *
The Travelers Insurance Company - Life(5)........      $2,438,000               *             210,535              *
The Travelers Insurance Company Separate Account
  TLAC(6)........................................      $   68,000               *               5,872              *
Travelers Casualty Insurance Company of America..      $1,235,000               *             106,649              *
Travelers Series Trust Convertible Bond Portfolio      $  900,000               *              77,720              *


- ----------

*        Less than 1%

(1)      Calculated using 306,077,942 shares of common stock outstanding as of
         November 3, 2003. In calculating this amount for each holder, we
         treated as outstanding the number of shares of common stock issuable
         upon conversion of all of that holder's notes, but we did not assume
         conversion of any other holder's notes.

(2)      National Benefit Life Insurance Company also beneficially owns (i)
         $2,500,000 principal amount of CERC's 7.75% Notes due 2011, (ii)
         $700,000 principal amount of CenterPoint Houston's 5.70% General
         Mortgage Bonds, Series J, due 2013 and (iii) $2,000,000 principal
         amount of CenterPoint Houston's 6.95% General Mortgage Bonds, Series K,
         due 2033.

(3)      Primerica Life Insurance Company also beneficially owns (i) $7,000,000
         principal amount of CERC's 7.875% Senior Notes due 2013 and (ii)
         $1,400,000 principal amount of CenterPoint Houston's 5.70% General
         Mortgage Bonds, Series J, due 2013.

(4)      The Travelers Life and Annuity Company also beneficially owns (i)
         $300,000 principal amount of CenterPoint Houston's 5.70% General
         Mortgage Bonds, Series J, due 2013, (ii) $700,000 principal amount of
         CenterPoint Houston's 6.95% General Mortgage Bonds, Series K, due 2033
         and (iii) $1,000,000 principal amount of CERC's 7.875% Senior Notes due
         2013.

(5)      The Travelers Insurance Company - Life also beneficially owns (i)
         $5,000,000 principal amount of CERC's 7.75% Notes due 2011, (ii)
         $3,800,000 principal amount of CenterPoint Houston's 5.70% General
         Mortgage Bonds, Series J, due 2013, (iii) $6,300,000 principal amount
         of CenterPoint Houston's 6.95% General Mortgage Bonds, Series K, due
         2033 and (iv) $11,500,000 principal amount of CERC's 7.875% Senior
         Notes due 2013.

(6 )     The Travelers Insurance Company Separate Account TLAC also beneficially
         owns $200,000 principal amount of CenterPoint Houston's 5.70% General
         Mortgage Bonds, Series J, due 2013.

         INVESTING IN THE NOTES INVOLVES RISKS. SEE "RISK FACTORS" BEGINNING ON
PAGE 10 OF THE ACCOMPANYING PROSPECTUS.

         NEITHER THE SECURITIES AND EXCHANGE COMMISSION NOR ANY STATE SECURITIES
COMMISSION HAS APPROVED OR DISAPPROVED OF THESE SECURITIES OR PASSED UPON THE
ADEQUACY OR ACCURACY OF THIS PROSPECTUS SUPPLEMENT OR THE ACCOMPANYING
PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.

            The date of this prospectus supplement is May 13, 2004.