Cardiovascular diseases are a leading cause of disability and mortality among the working population, necessitating the development and implementation of new, more effective treatment and rehabilitation methods for such patients, including the use of modern cellular and tissue technologies. In this review, an analysis and summary of research results over the past decades regarding the effectiveness of various types of stem cells in heart pathology were conducted. Priority directions include the search for more accessible and safe sources of stem cells, the development of new effective methods for their cultivation, and the use of scaffolds for transplantation. Given the pathogenetic mechanisms of cardiovascular pathology and myocardial regeneration, particular interest for clinical application is drawn to tissue-specific progenitors from the myocardium for replacing injured cardiomyocytes, endothelial progenitors for correcting accompanying endothelial dysfunction, and multipotent mesenchymal cells of various origins with low immunogenicity that exhibit trophic, anti-inflammatory, immunomodulatory, and anti-apoptotic effects. Questions regarding the optimal method, dose, and frequency of stem cell administration, as well as the standardization of criteria for their quality and effectiveness, remain open. Additionally, the combined use of different types of stem cells may serve as a new priority strategy in assessing the effectiveness and safety of cell therapy, especially considering the paradigm of repeated transplantation. The successful translation of obtained preclinical results into further large, well-planned, placebo-controlled clinical trials will enhance the safety and effectiveness of cell therapy for cardiovascular diseases, which is one of the current challenges of modern regenerative medicine.