We introduce a new class of generalized inverse which is called π−Hirano inverse. In this paper some elementary properties of the π−Hirano inverse are obtained. We prove that a ∈ A is π−Hirano invertible if and only if a − a n+1 is nilpotent for some positive integer n. Certain multiplicative and additive results for the π−Hirano inverse in a Banach algebra are presented. We then apply these new results to block operator matrices over Banach spaces.