The stability of the universe filled with matter,which satisfies P = (gamma
-1)rho,is investigated in Friedmann-Robertson-Walker the universe model con
taining a cosmological constant. The universe satisfying Einstein field equ
ation is obtained for epsilon = -1 and Lambda < 0. When gamma greater than
or equal to 0, the universe is shown to be unstable by calculating the pert
urbation of gravitational wave and using the relation dP/d rho = gamma - 1.