The paper presents a general structure for realizing current-mode (CM) fractional-order all-pass filters (FOAPFs) using generalized first-kind five-port current conveyors (GCC5s). The proposed circuit topology employs two GCC5s and minimum number of passive components, i.e.. one resistor and one fractional-order capacitor, both in grounded form. A total of eight CM FOAPFs using second-generation current conveyor are derived, which are capable of providing simultaneously both inverting and non-inverting current-outputs from high impedance terminals. A theoretical study of a variant created using universal current conveyor is provided, which verify the concept of the proposed circuit topology.