In this letter, the dynamic effect of rotation on unsteady shock interaction between an oblique shock wave and bow shock ahead of elliptic cylinder is investigated numerically. First, a non-deforming grid method based on non-inertial reference frame is applied for supersonic/hypersonic flow around arbitrarily moving body. A simulation considering a rotating elliptic cylinder is then conducted at Ma5 with forced-oscillation approach. The results show that the shock interaction structure during rotation has obvious hysteresis compared with the static condition, and transition among different shock interaction types is also affected by rotation direction and speed. The mechanisms are briefly addressed.