IN THIS PAPER WE USE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS TO STUDY THE BEHAVIOR OF THE SOLUTIONS OF GENERALIZED LIÉNARD TYPE SYSTEM. WE GIVE SUFFICIENT CONDITIONS FOR ALL TRAJECTORIES WHICH START AT A POINT ON CHARACTERISTIC CURVE TO CROSS THE Y-AXIS, WHICH IS VERY IMPORTANT IN THE GLOBAL ASYMPTOTIC STABILITY OF THE ORIGIN, OSCILLATION THEORY, AND EXISTENCE OF PERIODIC SOLUTIONS. OUR RESULT EXTEND THE RESULTS OF AGHAJANI AND MORADIFAM AND IMPROVE THE RESULTS PRESENTED BY HARA AND YONEYAMA. SOME EXAMPLES ARE USED TO ILLUSTRATE OUR RESULT.