To require the Secretary of the Interior and the Secretary of Agriculture to enter into agreements with State and local governments to provide for the continued operation of public land, open air monuments and memorials, units of the National Park System, units of the National Wildlife Refuge System, and units of the National Forest System during a lapse in appropriations, and for other purposes.

Monuments Protection Act This bill directs the Departments of the Interior and Agriculture (USDA) to enter into an agreement with a state, the District of Columbia, a federally recognized Indian tribe, a U.S. territory or possession, or a political subdivision that offers to assume activities to resume or continue operations and public access to any covered unit when those activities would not otherwise be carried out: (1) because there is a lapse in available federal funds as a result of a failure to enact appropriations, or (2) because of a failure of the federal government to make sufficient funds available to operate such unit. The bill defines a "covered unit" to mean: public lands; units of the National Park System, the National Wildlife Refuge System, and the National Forest System; federally owned open air monuments and memorials; and federally owned roads and off ramps on all such lands. The bill requires Interior and USDA to reimburse an entity for such activities once funds are made available.