The stability and stabilization problems of continuous-time singular Markov jump system with partly unknown
transition probabilities are investigated. The system considered is more general, including completely known and completely unknown conditions as two special cases. A sufficient condition for such systems to be regular, impulse-free and stochastically stable is proposed based on linear matrix inequality(LMI) approach. Moreover, the state feedback controller is designed in terms of a set of LMIs to make the closed-loop systems regular, impulse-free and stochastically stable. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.