Pullman National Historical Park Act This bill redesignates the Pullman National Monument in Illinois as the Pullman National Historical Park. The Department of the Interior may enter into cooperative agreements with interested parties to support collaborative interpretive and educational programs at nonfederal historic properties within the boundaries of the historical park, and identify, interpret, and provide assistance for the preservation of nonfederal land within the boundaries of the historical park and at sites in close proximity to the historical park. Interior may acquire any land (including interests in land), buildings, or structures by donation, transfer, exchange, or purchase from a willing seller for inclusion in the historical park. Interior must complete a management plan for the historical park.