In this paper we study Johnson pseudo-contractibility of second dual of some Banach algebras. We show that the semigroup algebra ‘1(S)∗∗ is Johnson pseudo-contractible if and only if S is a finite amenable group, where S is an archimedean semigroup. We also show that the matrix algebra MI(C)∗∗ is Johnson pseudo-contractible if and only if I is finite. We study Johnson pseudo-contractibility of certain projective tensor product second dual Banach algebras.
