The optically mediated oscillation transfer between the coupled cantilevers in the optomechanical system based on two-coupled-cantilever is realized. A tunable two-mode optomechanical system is constructed by tuning the intrinsic frequency of one of the cantilevers by optical trapping. A parametric driving field is applied through periodically modulating the trapping power in order to parametrically couple the two cantilevers, which enables further experimental demonstration of coherent oscillation transfer between the cantilevers. The method is helpful to construct coherent phonon devices based on coupled micromechanical oscillator arrays.