This chapter addresses the genetic instability in stem cells, a central feature that is an important determinant for the safety and effectiveness of cell-based therapies. First, DNA damage response mechanism and the gene network that regulates the DNA integrity homeostasis are revisited, focusing on relationship between genetic integrity and stemness maintenance. Also, several factors have been included that influence genetic instability in vivo, i.e., ROS generation and inflammation, and in vitro regarding cell isolation, culture conditions, i.e., oxygen levels and the use of feeder layers and different carriers, splitting procedures, passage number, etc. Telomere shortening, replicative senescence aneuploidy, and the senescence-associated secretory phenotype are different processes involved in deterioration of stem cells abilities for homing, reparability, and paracrine modulation. Moreover, less effective DNA repair upon senescence increases the propensity of developing tumors for stem cells that is one the main concerns related to genetic instability in stem cells. Nuclear organization and their determinants linked to chromosome aberrations and aneuploidy in stem cells and those epigenetic changes affecting stability are addressed. Differences between adipose, embryonic, and induced pluripotent stem cells are analyzed regarding to their ontogeny, changes in culture, and variation in proliferative capacity and stemness. The effect of reprogramming methods in genetic instability and variation in mutagenicity according to genes utilized for pluripotency induction, i.e., Yamanaka's factors and others, is discussed. Donor-related factors, i.e., age, smoking, and alcohol consumption, comorbidities, i.e., obesity, insulin resistance, diabetes, are mentioned for wide evaluation of genetic instability. The next years must witness consensus protocols that will contribute to control the effects of factors that alter stem cell genetic stability to increase the security and applicability of cell-based therapy.