Helping Open Underutilized Space to Ensure Shelter Act of 2022 or the HOUSES Act of 2022 This bill authorizes the sale of certain federal land to states and units of local government for projects to provide housing. Specifically, the bill authorizes a state or unit of local government to nominate, for consideration for conveyance by the Department of the Interior, one or more tracts of public lands within the boundary of the state or unit of local government to carry out an eligible project to provide housing. Interior may not offer to convey to a unit of local government such a tract until it receives from the governor of the state approval for the conveyance. Interior may not convey to a state or unit of local government such a tract until the state or unit of local government has in effect any ordinances, statutes, or regulations that are necessary to ensure compliance with the project proposal.