This paper addressed the stochastic finite-time stability (SFTS) problem for a class of Markovian jump systems with random delays and external disturbances.Stochastic variables obeying Bernoulli distribution are introduced to model the random delays.In this work,firstly,SFTS performances are analyzed.Based on these analyses,new criteria are derived to synthesize the SFTS controller,such that system states are SFTS in the presence of Markov jumps,time delays,and external disturbances.Besides,the upper bound of state values is derived in an explicit form.Finally,an illustrative example is provided to verify the effectiveness of the proposed algorithm.