Heart failure (HF) is a widespread syndrome that leads to a significant decrease in the quality of life of patients. Epigenetics is one of the most promising areas of HF research, which allows us to consider the pathogenesis of this syndrome at a new molecular level. This review summarizes the studies of epigenetic processes (histone modification, DNA methylation, changes in the expression of regulatory non-coding RNAs) that accompany HF development. Epigenetic studies of HF not only confirmed the clinical and etiological heterogeneity of this syndrome, but also expanded the range of potential diagnostic markers and opened up new drug development strategies.