## **Exhibit 31.1**

## ** **

## **CERTIFICATION PURSUANT TORULE 13A-14(A) OF THE SECURITIES**

## **EXCHANGE ACT OF 1934, ASADOPTED PURSUANT TO SECTION 302 OF THE**

## **SARBANES-OXLEY ACT OF2002**

## ** **

I, Jeffrey J. Zimmer,Chairman of the Board and Chief Executive Officer, certify that:

 

1.               I have reviewedthis quarterly report on Form 10-Q of Bimini MortgageManagement, Inc. (the “registrant”);

 

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

 

3.               Based on myknowledge, the financial statements, and other financial information includedin this quarterly report, fairly present in all material respects the financialcondition, results of operations and cash flows of the registrant as of, andfor, the periods presented in this quarterly report;

 

4.               The registrant’sother certifying officer and I are responsible for establishing and maintainingdisclosure controls and procedures (as defined in Exchange ActRules 13a-15(e) and 15d-15(e)) for the registrant and have:

 

a)   Designed suchdisclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that materialinformation relating to the registrant, including its consolidatedsubsidiaries, is made known to us by others within those entities, particularlyduring the period in which this quarterly report is being prepared;

 

b)   Evaluated theeffectiveness of the registrant’s disclosure controls and procedures presentedin this quarterly report our conclusions about the effectiveness of thedisclosure controls and procedures, as of the end of the period covered by thisreport based on such evaluation; and

 

c)   Disclosed in thisquarterly report any change in the registrant’s internal control over financialreporting that occurred during the registrant’s most recent fiscal quarter (theregistrant’s fourth fiscal quarter in the case of an annual report) that hasmaterially affected, or is reasonably likely to materially affect, theregistrant’s internal control over financial reporting; and

 

5.               The registrant’sother certifying officer and I have disclosed, based on our most recent evaluationof internal control over financial reporting, to the registrant’s auditors andthe audit committee of the registrant’s board of directors (or personsperforming the equivalent functions):

 

a)   All significantdeficiencies and material weaknesses in the design or operation of internalcontrol over financial reporting which are reasonably likely to adversely affect the registrant’s ability torecord, process, summarize and report financial information; and

 

b)   Any fraud, whetheror not material, that involves management or other employees who have asignificant role in the registrant’s internal control over financial reporting.

 
| Date:                 | October 28, 2005          |
|-----------------------|---------------------------|
|                  |                      |
| /s/ JEFFREY J. ZIMMER |                      |
| Name:                 | Jeffrey J. Zimmer         |
| Title:                | *Chief Executive Officer* |
|                       |                           |  |

 

----