This paper studies the stabilization problem of stochastic singular Markov jump systems with time-varying delays by static event-triggered control.By constructing the Lyapunov-Krasovskii functional, Jensen's inequality and free weightingm atrix technology, the stochastic admissibility conditions for the systems under the condition of static event-triggered control are proposed.On this basis, the state feedback controller is designed so that the corresponding closed-loop systems satisfy regular, impulse-free and the stochastically admissible in the mean square.Finally, a numerical simulation example is provided to illustrate the correctness and effectiveness of the method proposed in this paper.