Given Banach algebras A and B and 2 (B). We shall study the Johnson pseudo-contractibility and pseudo-amenability of the -Lau product A B. We show that if A B is Johnson pseudo-contractible, then both A and B are Johnson pseudo-contractible and A has a bounded approximate identity. In some particular cases, a complete characterization of Johnson pseudo-contractibility of A B are given. Also, we show that pseudo-amenability of A B implies the approximate amenability of A and pseudo-amenability of B.
