In this paper,a generalized stochastic model of high-order Hopfield-typeneural networks with time-varying delays and distributed parametersis considered.The sufficientconditions ensuring the exponential stability of the systems are developed by using Lyapunovstability theory,an integral inequality and Halanay's inequality.The proposed conditions are diffusion-dependent due to the use of the new integral inequality.As a result,the obtained conditions may have some advantages over the those previously reported.As anillustration,an numerical example is worked out using the resultsobtained.