The proper organization of microtubules is essential for many cellular functions. Microtubule organization and reorganization are highly regulated during the cell cycle, but the underlying mechanisms remain elusive. Here we characterized unusual interphase microtubule organization in fission yeast nuclear export mutant crm1-124. The mutant cells have an intranuclear microtubule bundle during interphase that pushes the nuclear envelope to assume a protruding morphology. We showed that the formation of this protruding microtubule bundle requires the nuclear accumulation of two microtubule-associated proteins (MAPs), Alp14/TOG and Mal3/EB1. Interestingly, the forced accumulation of Alp14 in the nucleus of wild type cells is sufficient to form the intranuclear microtubule bundle. Furthermore, the frequency of the intranuclear microtubule formation by Alp14 accumulated in the nucleus is prominently increased by a reduction in the nucleation activity of interphase cytoplasmic microtubules. We propose that properly regulated nucleocytoplasmic transport and maintained activity of cytoplasmic microtubule nucleation during interphase are important for the proper organization of interphase cytoplasmic microtubules.