Abstract: This paper discusses the interaction between MHD intermediate shocks. The main conclusions are as follows. The outcome of MHD intermediate shock merging consists of a reverse fast simple wave,a reverse slow simple wave or shock,a contact surface,a forward slow shock, and a forward fast shock, in which the reverse waves and the contact surface very weak.The outcome of MHD intermediate shock collision depends on the relative strength of the left and right shocks before collision. When the left shock is stronger,the outcome consists of a reverse fast shock,a reverse slow simple wave or shock,a negative contact surface,a forward slow simple wave, and a forward fast shock. On the contrary, the outcome becomes a reverse fast shock, a reverse slow simple wave, a positive contact surface,a forward slow simple wave or shock, and a forward fast shock.