Abstract: This paper discusses.the merging of fast and slow MHD shocks.The main conclusions are as follows.(1)Merging of two forward fast shocks forms a stronger forward fast shock, followed by a forward slow rarefaction wave,a positive contact surface(with a larger density at the rear),a reverse slow shock,and a reverse fast rarefaction wave.(2)Merging of two forward slow shocks forms a stronger forward slow shock, followed by a positive contact surface,a reverse slow rarefaction wave, and a reverse fast shock.Aforward fast wave appears in front of the forward slow shock,being either a rarefaction wave for moderate shock angle case or a shock for large shock angle case.(3)Aforward fast shock will catch up with a forward slow shock.As a result,the two shocks exchange places andreduce in strength, followed by a positive contact surface and a pair of reverse rarefaction waves.