In this paper, we have studied the existence of solutions of the following nonlinear ψ-Hilfer hybrid fractional differential equation with non-local and impulsive conditions (non-local impulsive ψ- HHFDE)- HDα,σ,ψ0+ ( u(t) f (t,u(t)) + 1(t,u(t)) ) = h(t,u(t)), t ∈ J = [0, b] {t1, t2, ..., tn} ∆I1−ζ;ψ0+ [ u(tk) f (tk ,u(tk)) + 1(tk,u(tk)) ] = Γk ∈ R, k ∈ {1, 2, ...,n} I1−ζ;ψ0+ ( u(t) f (t,u(t)) ) t=0 + χ(u) = µ ∈ R Where 0 < α < 1, 0 < σ < 1, ζ = α + σ(1 − α), f ∈ C(J × R,R∗), χ ∈ C(R,R) and 1, h ∈ C(J × R,R). The used tools in this article are the classical technique of Dhage fixed point theorem. Further, an example is provided to illustrate our results.