This article investigates the stability of Markov jump neural networks with interval time-varying distributed delay and uncertain transition rates. By fully considering the property of transition rates and the characteristic of uncertain domains, a more effective technique in stead of the traditional Young's inequality is used to bind the uncertain terms in the transition rates. By applying the Lyapunov-Krasovskii functional and a less conservative auxiliary function integral inequalities, new delay-dependent stability criteria are obtained. The simulation results demonstrate the effectiveness of the proposed method.