The present invention relates to a method for obtaining mesenchymal stem cells (MSCs) from mammalian tissue or body fluid, comprising isolating said MSCs from tissue or body fluid and expanding said isolated MSCs in multiple cultivation passages, characterized in that the cell doubling log (CDL) per 24 hours of the MSCs is between 0.25 and 3.2 during expansion. In a further aspect, the current invention also relates to cell compositions obtained by the current method and to a container for storing such compositions.