Budget Truck Rental is owned and operated by Avis Budget Group which was spun off from Cendant. Budget Truck Rental has contracts with Ford GMC Navistar International and Isuzu to make their rental trucks. Like other truck rental companies. Budget Truck will provide residential customers with moving supplies and tips to help people move house. Budget Truck Rental is owned and operated by Avis Budget Group which was spun off from Cendant. Budget Truck Rental has contracts with Ford GMC Navistar International and Isuzu to make their rental trucks. Like other truck rental companies. Budget Truck will provide residential customers with moving supplies and tips to help people move house.