A magneto-caloric thermal diode assembly includes a plurality of elongated magneto-caloric members. Each of a plurality of thermal stages includes a plurality of magnets and a plurality of non-magnetic blocks distributed in a sequence of magnet then non-magnetic block along a transverse direction. The plurality of thermal stages and the plurality of elongated magneto-caloric members are configured for relative motion along the transverse direction. The plurality of magnets and the plurality of non-magnetic blocks are spaced along the transverse direction within each of the plurality of thermal stages. Each of the plurality of magnets in the plurality of thermal stages is spaced from a respective non-magnetic block in an adjacent thermal stage towards a cold side thermal stage along the lateral direction and is in conductive thermal contact with a respective non-magnetic block in an adjacent thermal stage towards a hot side thermal stage along the lateral direction.