The relationship between the forward order law product A † 1 A † 2 · · · A † n of the Moore-Penrose inverses of A 1 , A 2 , · · · , A n and the seven common types of generalized inverse of A 1 A 2 · · · A n will be studied in this paper. Especially, we will give the necessary and sufficient condition for the n terms forward order law (A 1 A 2 · · · A n) † = A † 1 A † 2· · · A † n .