This paper addresses the issue of stochastic stability for continuous-time semi-Markovian jump neural networks. Initially, according to the characteristics of the time-delay interval, the Lyapunov-Krasovskii functional (LKF) with the semi-Markov process is constructed to ensure the stability of the switching networks. Next, the promoted double integral inequality lemma is utilized to estimate the weak infinitesimal operator of the designed LKF, and this paper establishes a time-delay correlation criterion. Moreover, the criterion is combined with the Lyapunov stability theory to make the system reach stability in the mean-square sense. Finally, the paper provides an example to demonstrate the effectiveness of the proposed approach.