Solid waste management has been an interesting topic for researchers in few last decades. This paper studies a price-sensitive demand for the waste disposal service of two disposal facilities who are dealing with a contractor to gain more profit. The waste disposal process is studied in a supply chain structure where a contractor manages to collect the waste from the producers and transport them to the facilities for disposal. Two scenarios are proposed where at the first one the disposal facilities lead a price Stackelberg game over the contractor, and in the second scenario, both disposal facilities and the contractor cooperate on the chain decision variables in an integrated framework. A numerical example is performed to illustrate the efficiency and applications of the proposed model.