Municipal Solid Waste has become a serious environmental problem troubling many cities. In this paper, a mathematical model of combustion kinetics of municipal solid waste with focus on plastic waste was studied. An analytical solution is obtained for the model. From the numerical simulation, it is observed that the heating rate is proportional to the heating temperature and the conversion rate of the system. It is also observed that the conversion rate increases as the pre-exponential factor increases while it decreases as the activation energy and reaction order increases.