Homologous recombination (HR) is a fundamental process that is conserved in all species and is essential for maintaining genome stability while facilitating genetic diversity but avoiding genetic instability. As such, HR is involved in numerous fundamental biological processes, controlling a balance of genetic stability/diversity instability. This chapter summarizes the different models of recombination in mammals and then presents the following molecular steps of HR: recognition of damage, chromatin remodeling, DNA single-strand resection, strand invasion and resolution of Holliday junctions. HR is a process involved in DNA repair (notably double-strand breaks), the tolerance of damages and the reactivation of stalled replication forks; it is essential for the maintenance of genome stability. Conversely, an excess of HR (for example, between dispersed repeated sequences in the genome) can lead to genetic instability. In this context, the regulation of HR restricting it to S-phase is a factor in genetic stability. Deregulation of HR (causing a defect or an excess) is often found in tumor cells and tumor predisposition situations, illustrating the need for precise control of balance in HR. Knowledge of the molecular mechanisms of HR is also of interest in applications because it may provide strategies for the optimization of targeted in gene replacement.