Exhibit 99.77Q3CERT

(a)(i)The  President  and Chief  Executive  Officer and the Treasurer of INVESCO
Bond Funds, Inc. have evaluated its disclosure controls and procedures within 90
days of the filing of this report,  and have  determined  that such controls and
procedures are reasonably designed to ensure that material  information relating
to the registrant,  including its consolidated subsidiaries, is made known to us
by others within those  entities,  particularly  during the period in which this
report is prepared.

(a)(ii)The  President and Chief  Executive  Officer and the Treasurer of INVESCO
Bond Funds, Inc. have reviewed its disclosure  controls and procedures within 90
days of the filing of this report, and there has been no significant  changes in
the registrant's  internal controls or in other factors that could significantly
affect such controls  subsequent to the date of their evaluation,  including any
corrective  actions  with  regard  to  significant   deficiencies  and  material
weaknesses.
<PAGE>
(a)(iii)

                                 CERTIFICATION

     I, Raymond R. Cunningham, certify that:

     1. I have reviewed this report on Form N-SAR of INVESCO Bond Funds, Inc.;

     2. Based on my knowledge, this report does not contain any untrue statement
     of a material fact or omit to state a material  fact  necessary to make the
     statements made, in light of the circumstances  under which such statements
     were made,  not  misleading  with  respect  to the  period  covered by this
     report;

     3.  Based on my  knowledge,  the  financial  information  included  in this
     report, and the financial statements on which the financial  information is
     based,  fairly  present in all material  respects the financial  condition,
     results  of  operations,  changes  in net  assets,  and cash  flows (if the
     financial  statements are required to include a statement of cash flows) of
     the registrant as of, and for, the periods presented in this report;

     4. The  registrant's  other  certifying  officers and I are responsible for
     establishing and maintaining disclosure controls and procedures (as defined
     in rule 30a-2(c) under the  Investment  Company Act) for the registrant and
     have:

          a) designed  such  disclosure  controls and  procedures to ensure that
          material  information  relating  to  the  registrant,   including  its
          consolidated subsidiaries,  is made known to us by others within those
          entities, particularly during the period in which this report is being
          prepared;

          b) evaluated the effectiveness of the registrant's disclosure controls
          and procedures as of a date within 90 days prior to the filing date of
          this report (the "Evaluation Date"); and

          c) presented in this report our conclusions about the effectiveness of
          the disclosure  controls and procedures  based on our evaluation as of
          the Evaluation Date;

     5. The registrant's other certifying  officers and I have disclosed,  based
     on our most recent evaluation,  to the registrant's  auditors and the audit
     committee of the registrant's board of directors (or persons performing the
     equivalent functions):

          a) all significant deficiencies in the design or operation of internal
          controls  which could  adversely  affect the  registrant's  ability to
          record,  process,  summarize,  and  report  financial  data  and  have
          identified for the  registrant's  auditors any material  weaknesses in
          internal controls; and

          b) any fraud,  whether or not material,  that  involves  management or
          other  employees  who  have a  significant  role  in the  registrant's
          internal controls; and

     6. The registrant's other certifying  officers and I have indicated in this
     report whether or not there were significant  changes in internal  controls
     or in other  factors  that could  significantly  affect  internal  controls
     subsequent  to the  date  of our  most  recent  evaluation,  including  any
     corrective  actions with regard to  significant  deficiencies  and material
     weaknesses.

     Date: 4/24/03
           -------               /s/ Raymond R. Cunningham
                                 -------------------------
                                 Raymond R. Cunningham
                                 President and Chief Executive Officer
<PAGE>
                                  CERTIFICATION

     I, Ronald L. Grooms, certify that:

     1. I have reviewed this report on Form N-SAR of INVESCO Bond Funds, Inc.;

     2. Based on my knowledge, this report does not contain any untrue statement
     of a material fact or omit to state a material  fact  necessary to make the
     statements made, in light of the circumstances  under which such statements
     were made,  not  misleading  with  respect  to the  period  covered by this
     report;

     3.  Based on my  knowledge,  the  financial  information  included  in this
     report, and the financial statements on which the financial  information is
     based,  fairly  present in all material  respects the financial  condition,
     results  of  operations,  changes  in net  assets,  and cash  flows (if the
     financial  statements are required to include a statement of cash flows) of
     the registrant as of, and for, the periods presented in this report;

     4. The  registrant's  other  certifying  officers and I are responsible for
     establishing and maintaining disclosure controls and procedures (as defined
     in rule 30a-2(c) under the  Investment  Company Act) for the registrant and
     have:

          a) designed  such  disclosure  controls and  procedures to ensure that
          material  information  relating  to  the  registrant,   including  its
          consolidated subsidiaries,  is made known to us by others within those
          entities, particularly during the period in which this report is being
          prepared;

          b) evaluated the effectiveness of the registrant's disclosure controls
          and procedures as of a date within 90 days prior to the filing date of
          this report (the "Evaluation Date"); and

          c) presented in this report our conclusions about the effectiveness of
          the disclosure  controls and procedures  based on our evaluation as of
          the Evaluation Date;

     5. The registrant's other certifying  officers and I have disclosed,  based
     on our most recent evaluation,  to the registrant's  auditors and the audit
     committee of the registrant's board of directors (or persons performing the
     equivalent functions):

          a) all significant deficiencies in the design or operation of internal
          controls  which could  adversely  affect the  registrant's  ability to
          record,  process,  summarize,  and  report  financial  data  and  have
          identified for the  registrant's  auditors any material  weaknesses in
          internal controls; and

          b) any fraud,  whether or not material,  that  involves  management or
          other  employees  who  have a  significant  role  in the  registrant's
          internal controls; and

     6. The registrant's other certifying  officers and I have indicated in this
     report whether or not there were significant  changes in internal  controls
     or in other  factors  that could  significantly  affect  internal  controls
     subsequent  to the  date  of our  most  recent  evaluation,  including  any
     corrective  actions with regard to  significant  deficiencies  and material
     weaknesses.

     Date: 4/24/03
                                 /s/ Ronald L. Grooms
                                 --------------------
                                 Ronald L. Grooms
                                 Treasurer
<PAGE>
Because the  electronic  format for filing Form N-SAR does not provide  adequate
space for responding to Items 72DD1 and 72DD2,  72EE,  73A1 and 73A2,  73B, 74U1
and 74U2, and 74V1 and 74V2 correctly, the correct answers are as follows:

Item 72DD1 and 72DD2
Total income dividends for which record date passed during the period

                           Total Income Dividends (000's omitted)
                           --------------------------------------

                                                            U.S. Government
Share       Select Income     High Yield  Tax-Free Bond     Securities
Class       Fund              Fund        Fund              Fund
--------------------------------------------------------------------------------
Investor    $8,087            $12,642     $4,085            $2,173
Class A     $74               $224        $16               $68
Class B     $6                $14         $7                $13
Class C     $45               $275        $33               $56
Class K     $133              $40         N/A               N/A

Item 72EE
Total capital gains distributions for which record date passed during the period

                            Total Capital Gains (000's omitted)
                            -----------------------------------

                                                            U.S. Government
Share       Select Income     High Yield  Tax-Free Bond     Securities
Class       Fund              Fund        Fund              Fund
--------------------------------------------------------------------------------
Investor    $0                $0          $0                $3,204
Class A     $0                $0          $0                $73
Class B     $0                $0          $0                $27
Class C     $0                $0          $0                $122
Class K     $0                $0          N/A               N/A



Item 73A1 and 73A2
Distributions per share for which record date passed during the period

                            Dividends from Net Investment Income
                            ------------------------------------

                                                            U.S. Government
Share       Select Income     High Yield  Tax-Free Bond     Securities
Class       Fund              Fund        Fund              Fund
--------------------------------------------------------------------------------
Investor    $0.1450           $0.1551     $0.3244           $0.1009
Class A     $0.1380           $0.1602     $0.3027           $0.1150
Class B     $0.1251           $0.1445     $0.2528           $0.0724
Class C     $0.1259           $0.1424     $0.3000           $0.0724
Class K     $0.1399           $0.1516     N/A               N/A


Item 73B
Distributions per share for which record date passed during the period

                                       Capital Gains
                                       -------------

                                                            U.S. Government
Share       Select Income     High Yield  Tax-Free Bond     Securities
Class       Fund              Fund        Fund              Fund
--------------------------------------------------------------------------------
Investor    $0.0000           $0.0000     $0.0000           $0.1516
Class A     $0.0000           $0.0000     $0.0000           $0.1516
Class B     $0.0000           $0.0000     $0.0000           $0.1516
Class C     $0.0000           $0.0000     $0.0000           $0.1516
Class K     $0.0000           $0.0000     N/A               N/A
<PAGE>
Item 74U1 and 74U2
Number of shares outstanding

                             Shares Outstanding (000's omitted)
                             ----------------------------------

                                                            U.S. Government
Share       Select Income     High Yield  Tax-Free Bond     Securities
Class       Fund              Fund        Fund              Fund
--------------------------------------------------------------------------------
Investor          53,713            79,664            12,889            22,006
Class A           277         1,659       81          1,188
Class B           67          210         36          214
Class C           506         3,249       91          1,021
Class K           905         277         N/A         N/A



Item 74V1 and 74V2
Net asset value per share (to nearest cent)

                                 Net Asset Value Per Share
                                 -------------------------

                                                            U.S. Government
Share       Select Income     High Yield  Tax-Free Bond     Securities
Class       Fund              Fund        Fund              Fund
--------------------------------------------------------------------------------
Investor    $5.29             $3.39       $15.73            $7.64
Class A     $5.29             $3.42       $15.70            $9.34
Class B     $5.29             $3.38       $15.73            $7.64
Class C     $5.29             $3.37       $17.78            $7.63
Class K     $5.29             $3.38       N/A               N/A