DNA in eukaryotes is invariably present as a complex with histone and non-histone proteins called chromatin. These proteins play an important role in the proper regulation of genes during development and differentiation. Transcription factors and the covalent modifications of DNA, histone and non-histone proteins establish an epigenetic state that is heritable and which does not involve a change in genotype. The heritability of transcription states through cell division brings up specific questions: How are epigenetic marks established and re-established in the daughter cells following DNA replication and mitosis? In this article we explore what is known of the cell cycle dependence of epigenetic inheritance with particular emphasis on yeast loci and discuss the role of specific proteins responsible for the establishment and maintenance of these states.