Therapeutic strategies involving the use of stem cells in the clinic aroused great hopes in the medical world, becoming the subject of much controversy among scientists, lawyers, clergy, journalists and other opinion formers. This work is a summary of the author's lecture, which was presented at a conference organized by the Academy, dedicated to the clinical application of stem cells. Based on the literature data and the results of their own research author presented his position on this arouses great hopes and controversy, dynamically developing field.