Numerical simulations were carried out to investigate the characteristics of standing oblique detonation wave(ODW) for different Mach 6.8,7.0 and 7.5 inlet flows over a wedge of 30° turning angle.Numerical results show a shock wave at Mach 6.8 and 7.0 appears at the downstream of the triple point which is formed among oblique shock wave(OSW),ODW and deflagration wave,reflects from the wedge wall,passes across the contact surface and interacts with transverse waves which originating from the ODW front.This interaction makes cellular structure irregular and complex.At the same time,a new feature shows the transverse waves propagate both in one-way direction upstream and in two-way direction downstream behind the ODW.The propagation characteristic affects the stability of oblique detonation wave.