Exhibit31.1

I, David E. Sharbutt, certifythat:

|  |          |                                                                              |
|--|----------|------------------------------------------------------------------------------|
|  | 1.  | I have reviewed this quarterly report onForm 10-Q of Alamosa Holdings, Inc.; |

|  |          |                                                                                                                                                                                                                                                                                                       |
|--|----------|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | 2.  | Based onmy knowledge, this report does not contain any untrue statement of amaterial fact or omit to state a material fact necessary to make thestatements made, in light of the circumstances under which suchstatements were made, not misleading with respect to the period coveredby this report; |

|  |          |                                                                                                                                                                                                                                                                                    |
|--|----------|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | 3.  | Based on my knowledge,the financial statements, and other financial information included inthis report, fairly present in all material respects the financialcondition, results of operations and cash flows of the registrant asof, and for, the periods presented in thisreport; |

|  |          |                                                                                                                                                                                                                                                                                                                                    |
|--|----------|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | 4.  | The registrant's othercertifying officer(s) and I are responsible for establishing andmaintaining disclosure controls and procedures (as defined in ExchangeAct Rules 13a-15(e) and 15d-15(e)) and internal control over financialreporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f))for the registrant and have: |

|  |          |                                                                                                                                                                                                                                                                                                                                                                          |
|--|----------|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | a.  | Designedsuch disclosure controls and procedures, or caused such disclosurecontrols and procedures to be designed under our supervision, to ensurethat material information relating to the registrant, including itsconsolidated subsidiaries, is made known to us by others within thoseentities, particularly during the period in which this report is beingprepared; |

|  |          |                                                                                                                                                                                                                                                                                                                                                                    |
|--|----------|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | b.  | Designed such internalcontrol over financial reporting, or caused such internal control overfinancial reporting to be designed under our supervision, to providereasonable assurance regarding the reliability of financial reportingand the preparation of financial statements for external purposes inaccordance with generally accepted accounting principles; |

|  |          |                                                                                                                                                                                                                                                                                 |
|--|----------|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | c.  | Evaluated the effectiveness of theregistrant's disclosure controls and procedures and presented inthis report our conclusions about the effectiveness of the disclosurecontrols and procedures, as of the end of the period covered by thisreport based on such evaluation; and |

|  |          |                                                                                                                                                                                                                                                                                                                                                                                   |
|--|----------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | d.  | Disclosed in this report any change in theregistrant's internal control over financial reporting thatoccurred during the registrant's most recent fiscal quarter (theregistrant's fourth fiscal quarter in the case of an annualreport) that has materially affected, or is reasonably likely tomaterially affect, the registrant's internal control overfinancial reporting; and |

|  |          |                                                                                                                                                                                                                                                                                               |
|--|----------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | 5.  | Theregistrant's other certifying officer(s) and I have disclosed,based on our most recent evaluation of internal control over financialreporting, to the registrant's auditors and the audit committeeof the registrant's board of directors (or persons performing theequivalent functions): |

|  |          |                                                                                                                                                                                                                                                                       |
|--|----------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | a.  | All significantdeficiencies and material weaknesses in the design or operation ofinternal control over financial reporting which are reasonably likelyto adversely affect the registrant's ability to record, process,summarize and report financial information; and |

|  |          |                                                                                                                                                                          |
|--|----------|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  | b.  | Any fraud, whether or not material, thatinvolves management or other employees who have a significant role inthe registrant's internal control over financial reporting. |

Date: November 5, 2004

|                          |  |                                                     |  |  |  |  |
|--------------------------|--|-----------------------------------------------------|--|--|--|--|
|      |  | /s/David E. Sharbutt                                |
|                     |  | David E.SharbuttChairman and Chief ExecutiveOfficer |
|                          |

----