Genetic recombination plays a key role in the life of organisms as diverse as bacteriophages and humans. Contrary to our idea that chromosomes are stable structures, studies of recombination over the past few decades have shown that in fact DNA replicons are remarkably plastic, undergoing frequent recombination-induced rearrangements. This review summarizes our recent knowledge of the biochemistry of the two major classes of site-specific recombination: 1) transpositional recombination, and 2) conservative site-specific recombination.