Ala. Code § 31-2-104

All processes and sentences of any of the military courts of this state shall be executed by any sheriff, deputy sheriff, constable, or police officer, or by any person deputized by the military court, into whose hands the same may be placed for service or execution, and such officer shall make return thereof to the officer issuing or imposing the same. Such service or execution of process or sentence shall be made by such officer without tender or advancement of fee therefor, but all costs in such cases shall be paid from funds appropriated for military purposes. The actual necessary expenses of conveying individuals from one county in the state to another, when the same is authorized and directed by the Adjutant General of the state, shall be paid from the regular military appropriation of the state when approved by the Governor.