The control problem of Markovian jump linear descriptor systems is considered in this paper. Based on generalized multi-Lyapunov function a sufficient condition to guarantee the admissibility of system is obtained. The state feedback and statistic output feedback control law are then designed also based on the generalized multi-Lyapunov function. All the results are obtained in terms of linear matrices inequalities(LMIS). And a circuit system example is presented to illustrate the usefulness of the main results.