Proteins with wholly or partly denatured structures in vivo are called intrinsically disordered or natively unfolded proteins (NUPs). Functional importance of NUPs was revealed by NMR studies as first reviewed by P. Wright in 1999. Since then, computational analyses on NUPs have also been intensively carried out to predict that approximately one third of eukaryotic proteins are NUPs. I will start this overview with the question why it took so long to identify NUPs as an important subject of protein science, and then move on to several issues such as, whether or not NUPs are specific to eukaryotes, what a particularly higher fraction of NUPs existing in the nucleus means, and what evolutionary implications NUPs have.