In this paper, the finite time stability for a class of discretetime switched systems with uncertainty is considered. Firstly, under the arbitrary switching signals, a sufficient condition of the finitetime stability which makes the discretetime switched system with uncertainty stability is given by constructed the Lyapunovlike function and utilized the linear matrix inequalities methods. Second, based on the given theorem,the finitetime control problem is considered, and the method of designing the switching state feedback controllers is given. Finally, a numerical example proves the effectiveness and feasibility of the proposed method.