The present invention relates to a novel method of cultivation of mesenchymal stem cells, wherein after aseptic separation of mononuclear cells from the marrow blood, said cells are seeded in low density into sterile plastic cultivation vessels and cultivated for approximately one to three weeks in CellGroeTM Hematopoietic Stem Cell Medium, certified for the clinical use, with an addition of 10 percent of human serum and supplements, wherein the supplements are added at least once in the course of the cultivation, without removal of hematopoietic cells and without medium exchange during the cultivation procedure, without any interference in the closed cultivation system, under the standard conditions for the cultivation of tissue cultures.