This is a review of the growing scientific interest in the developmental plasticity and therapeutic potential of stromal cells isolated from adipose tissue. Adipose-derived stem/stromal cells (ASCs) are multipotent somatic stem cells that are abundant in fat tissue. It has been shown that ASCs can differentiate into several lineages, including adipose cells, chondrocytes, osteoblasts, neuronal cells, endothelial cells, and cardiomyocytes. At the same time, adipose tissue can be harvested by a minimally invasive procedure, which makes it a promising source of adult stem cells. Therefore, it is believed that ASCs may become an alternative to the currently available adult stem cells (e.g. bone marrow stromal cells) for potential use in regenerative medicine. In this review, we present the basic information about the field of adipose-derived stem cells and their potential use in various applications.