Abstract: This paper considers the problem of model following control for a class of nonlinear descriptor systems which are composed by linear part and nonlinear part. By dealing with the two parts separately, a method of constructing the feedback law which can achieve model following is proposed. This paper also provides the following results. (1) A necessary condition is presented for the uniqueness of the states of closed-loop system whose nonlinear algebraic equation contains control input. (2) If the norm of nonlinear part satisfies some condition and the related transfer function is positive real, then the stats are boundedness. This method is also suitable to those systems whose algebraic restraint is nonlinear. Simulation is given to show the effectiveness of this method.