In view of the robust stability exhibited by an uncertain neutral system with time delays, an intensive research has thus been conducted by adopting the free-matrix-based integral inequality (FMBII) method. A simplified FMBII is proposed for the estimation of the derivative of Lyapunov- Krasovskii functional, thus obtaining the delay-dependent stability criteria with less degree of conservation. Finally, a comparison has been made between the current proposed method and the existing methods (see [4], [5], [7]and[8]), with the numerical example results verifying the validity and superiority of the currenth proposed approach.