Let A be a Banach algebra. An element a ∈ A has generalized Hirano inverse if there exists b ∈ A such that b = bab, ab = ba, a2 − ab ∈ Aqnil. We prove that a ∈ A has generalized Hirano inverse if and only if a − a3 ∈ Aqnil, if and only if a is the sum of a tripotent and a quasinilpotent that commute. The Cline’s formula for generalized Hirano inverses is thereby obtained. Let a, b ∈ A have generalized Hirano inverses. If a2b = aba and b2a = bab, we prove that a + b has generalized Hirano inverse if and only if 1 + adb has generalized Hirano inverse. The generalized Hirano inverses of operator matrices on Banach spaces are also studied