In this paper, the stability of the continuous-time descriptor semi-Markov jump systems with actuator saturation is discussed. First, with the infinitesimal generator for stochastic Lyapunov function of descriptor semi-Markiov jump systems, lower and upper bounds of the time-varying transition probability, and the singular value decomposition approach, two sufficient conditions are obtained to guarantee this kind of systems are stochastically admissible. Then, based on the above conditions, the design of state feedback controller is developed by solving the linear matrix inequalities (LMIs) optimization problem. Last, a numerical example is given to illustrate the effectiveness of the proposed methods.