The H_∞ control problem of Markov jump singular systems with incomplete transition rates is discussed. A new bounded real lemma for continuous time Markov jump singular systems is derived and then expanded to systems with partial transition rates. Moreover, an H_∞ controller is designed to make sure that the closed-loop systems are admissible and satisfy H_∞ criteria. The given method also covers the systems with the mode-dependent singular matrix and the controller is designed in terms of a set of strict linear matrix inequalities. Finally, a simulation example is given to illustrate the effectiveness and advantages of the proposed method.