We present a new approach for the stability analysis of linear coupled differential-difference systems (CDDS) with a general distributed delay. The distributed delay term in this note can contain any Undefined control sequence \fL function which is approximated via a class of elementary functions including polynomial, trigonometric and exponential functions etc. Through the application of a new proposed integral inequality, sufficient condition for the stability of the system is derived in terms of linear matrix inequalities based on the construction of a Liapunov Krasovskii functional. The methods proposed in this note can handle problems which cannot be deal with by existing approaches. Two numerical examples are presented to show the effectiveness of our proposed stability condition.