An attempt was undertaken to apply the concept elaborated for the evolution of multicellular organisms to that of unicellular eucaryotes. The latter's meiosis was formed on the basis of combination on three intracellular processes: 1) homologous DNA recombination, 2) chromosome disjunction with the assistance of mitotic apparatus, and 3) formation of "linear" chromosome elements consisting of specific proteins. Mechanism of homologous chromosome recombination was inherited from the archibacteria, while both the mitotic apparatus and "linear" chromosome elements emerged de novo. These elements appeared (resulting from appearance of the meiosis-specific proteins) as a complication of cohesion filaments, arising at the boundary between the sister chromatids after DNA replication. Homologous chromosome recombination made it possible for the chromosomes of diploid organisms to join pairwise by means of Holliday structures, while temporary blocking of hydrolysis of the linear elements at centromeres made it possible for the kinetochores to acquire unipolarity and for the sister chromatids to move to the same pole. All these provided for reduction of the chromosome number. Such a type of the reduction of chromosome number was retained by the extant imperfect ascomycetes Schizosaccharomyces pombe and Aspergillus nidulans, and by the infusorian Tetrahyrmena thermophila. It was the derivative of specific proteins, i.e. synaptonemal complexes (SCs). that appeared to be aromorphosis; they came to existence due to the pairwise joining of the chromosome "linear" elements by means of protein "zipper". The SCs join homologous chromosomes temporarily at the prophase of meiotic reduction division, thus optimizing condition for the crossing over and chiasma formation. The latter and the kinetochore unipolarity both provide for the chromosome disjunction. Kinetochore unipolarity is caused by the protein shugoshin which appears at meiotic prophase I and blocks cohesin hydrolysis at centromeres when anaphase I begins. This type of reductional division became the basis of the classical meiosis in the overwhelming majority of unicellular and multicellular organisms over all eucaryote kingdoms.