24 C.F.R. § 960.707
(a) Ownership Conditions. A resident of a dwelling unit in public housing, as that term is used in § 960.703, may own one or more common household pets or have one or more common household pets present in the dwelling unit of such resident, subject to the reasonable requirements of the PHA, if the resident maintains each pet:
(b) Reasonable requirements. Reasonable requirements may include but are not limited to: