**Exhibit 31.1**

** **

**ALLIANCE GAMING CORPORATION**

**FORM 10-Q**

** **

**March 31, 2004**

 

CERTIFICATION

 

I, Robert L.Miodunski, certify that:

 

1. I have reviewed thisquarterly report on Form 10-Q of Alliance Gaming Corporation;

 

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

 

3. Based on my knowledge,the financial statements, and other financial information included in thisquarterly 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’s other certifying officerand I are responsible for establishing and maintaining disclosure controls andprocedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e) forthe registrant and we have:

 

a)             designed such disclosure controlsand procedures, or caused such disclosure controls and procedures to bedesigned under our supervision, to ensure that material information relating tothe registrant, including its consolidated subsidiaries, is made known to us byothers within those entities, particularly during the period in which thisreport is being prepared;

 

b)            evaluated the effectiveness of theregistrant’s disclosure controls and procedures and presented in this reportour conclusions about the effectiveness of the disclosure controls andprocedures, as of the end of the period covered in this report based on suchevaluation; and

 

c)             disclosed in this report any changein the registrant’s internal control over financial reporting that occurredduring the registrant’s most recent fiscal quarter (the registrant’s fourthfiscal quarter in the case of an annual report) that has materially affected,or is reasonably likely to materially affect, the registrant’s internal controlover financial reporting; and

 

5.  The registrant’s other certifying officerand I have disclosed, based on our most recent evaluation of internal controlover financial reporting, to the registrant’s auditors and the audit committeeof registrant’s board of directors:

 

a)             all significant deficiencies andmaterial weaknesses in the design or operation of internal control overfinancial reporting which are reasonably likely to adversely affect theregistrant’s ability to record, process, summarize and report financialinformation; and

 

b)            any fraud, whether or not material,that involves management or other employees who have a significant role in theregistrant’s internal control over financial reporting.

 

 
| Date: May  13, 2004                               |   |
|---------------------------------------------------|--------|
|                                              |
| /s/ Robert L. Miodunski                           |   |
| Robert L. Miodunski                               |   |
| Director,  President and  Chief Executive Officer |   |
|                                                   |        |  |

 

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