Due to many practical system state variables partially observable and system modes not acquired online, an approach is developed to discuss the design of the partially mode-dependent observer and the controller for singular Markovian jump systems(SMJSs). Based on the LMI approach, a mode-dependent Lyapunov function is exploited to discuss the regularity and impulse-elimination of SMJSs. Sufficient conditions for the existence of the observer-based controller such that the closed-loop system is stochastically admissible are given in terms of LMIs. Finally, a numerical example is given to illustrate the effectiveness and the superiority of the design methods.