The integral inequality was an importantmethod in stability theory of nonlinear differentalsysfems. This paper presented a new integral inequalitywhose variable differential modules were greater than 1.The new integral inequality, the classical formula ofvariation of constants and Jensen inelquality wereeffective in dealing with the stability of a kind ofnonlinear neutral differential system with variationdelays. The several sufficient conditions of the stabilityproperties of nonlinear differential system with neutraldelays were established. The obtained results developedsome results which had been previously published.
