Two cell populations with a phenotype similar to that of mesenchymal stem cells (MSC) with different characteristics for expression of surface antigene CD34 were derived from subcutaneous fat. CD34-positive cells were derived from subcutaneous fat of the inferior eyelid obtained during transconjuctival blepharoplasty. CD34-negative cells were derived from adipose tissue obtained during lipoaspiration from the same patients. These cells displayed common characteristics for morphology and expression of basic markers characterizing them as mesenchymal stem cells. On being induced for differentiation, these two cell populations were able to differentiate to cells of adipose (adipocytes), bone (osteoblastes, osteocytes), cartilage (chondroblasts, chondrocytes), and nervous (neurons, astrocytes and oligodendrocytes) tissues.