The nuclear envelope is essential for compartmentalizing the nucleus from the cytoplasm in all eukaryotic cells. There is a tremendous flux of both RNA and proteins across the nuclear envelope, which is intact throughout the entire cell cycle of yeasts but breaks down during mitosis of animal cells. Transport across the nuclear envelope requires the recognition of cargo molecules by receptors, docking at the nuclear pore, transit through the nuclear pore, and then dissociation of the cargo from the receptor. This process depends on the RanGTPase system, transport receptors, and the nuclear pore complex. We provide an overview of the nuclear transport process, with particular emphasis on the fission yeast Schizosaccharomyces pombe, including strategies for predicting and experimentally verifying the signals that determine the sub-cellular localization of a protein of interest. We also describe a variety of reagents and experimental strategies, including the use of mutants and chemical inhibitors, to study nuclear protein import, nuclear protein export, nucleocytoplasmic protein shuttling, and mRNA export in fission yeast. The RanGTPase and its regulators also play an essential transport independent role in nuclear envelope re-assembly after mitosis in animal cells and in the maintenance of nuclear envelope integrity at mitosis in S. pombe. Several experimental strategies and reagents for studying nuclear size, nuclear shape, the localization of nuclear pores, and the integrity of the nuclear envelope in living fission yeast cells are described.