We investigate sufficient conditions for existence and uniqueness of solutions for a coupled system of fractional order hybrid differential equations (HDEs) with multi-point hybrid boundary conditions given by D ω x(t) H(t, x(t), z(t)) =-K 1 (t, x(t), z(t)), ω ∈ (2, 3], D z(t) G(t, x(t), z(t)) =-K 2 (t, x(t), z(t)), ∈ (2, 3], x(t) H(t, x(t), z(t)) t=1 = 0, D μ x(t) H(t, x(t), z(t)) t=δ 1 = 0, x (2) (0) = 0, z(t) G(t, x(t), z(t)) t=1 = 0, D ν z(t) G(t, x(t), z(t)) t=δ 2 = 0, z (2) (0) = 0, where t ∈ [0, 1