A novel maximum sensitivity based fractional order internal model control(FOIMC) scheme is proposed for solving the problem of model imprecise and system parameters uncertainties in heating process. Fractional calculus can be used to improve the model accuracy of heating system, and internal model control(IMC) can perform well under the problem of system parameters uncertainty. Then, maximum sensitivity is used for parameters’ tuning of the fractional controller and thus good robust performance can be obtained. Numerical results show the effectiveness of the proposed fractional order internal model control scheme, and its performance is superior to integer order internal model control for fractional order system.