Dikaryons, cells with two haploid nuclei contributed by the members of a mating pair, are part of the life cycle of many filamentous fungi, but the molecular mechanisms underlying the division of dikaryons are largely unknown. We found that the fission yeast Schizosaccharomyces pombe has a latent ability to divide as a dikaryon. Cells capable of restarting the mitotic cycle with two nuclei were prepared by transient inactivation of the septation initiation network. Close pairing of the two nuclei before mitosis was dependent on minus-end-directed kinesin Klp2p and was essential for propagation as a dikaryon. The two spindles extended in opposite directions, keeping their old spindle pole bodies at the prospective site of cell division until the mid-anaphase. The spindles then overlapped, exchanging the inner nuclei. Finally, twin mitosis was followed by a single cytokinesis, producing two daughter dikaryons carrying copies of the original pair of nuclei.