Abstract: This paper, studied bifurcations in threedimensional competitive LotkaVolterra system living in two patchy environments. It is studied about asymptotical stability of equilibrium with threespecies alive when there is no crossdiffusion within the two patchy. And, there are some different critical values of the bifurcation parameter at which the system undergoes Hopf bifurcation, static bifurcation respectively under the effect of crossdiffusion. Some examples were also given. This illustrates the crossmigration response is very important factor that should not be ignored.