In this paper, we obtain the exact solutions of Lienard equation using (G/G' )-expansion method. The solutions obtained here are expressed in hyperbolic functions. Our work is motivated by the fact that the (G/G' )-expansion method provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in obtained wider set of solutions as special values then some of previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system.