In eukaryotes, the cellular response to DNA damage depends on the type of DNA structure being recognized by the checkpoint and repair machinery. DNA ends and single-stranded DNA are hallmarks of double-strand breaks and replication stress. These two structures are recognized by distinct sets of proteins, which are reorganized into a focal assembly at the lesion. Moreover, the composition of these foci is coordinated with cell cycle progression, reflecting the favoring of end-joining in the G1 phase and homologous recombination in S and G2. The assembly of proteins at sites of DNA damage is largely controlled by a network of protein-protein interactions, with the Mre11 complex initiating assembly at DNA ends and replication protein A directing recruitment to single-stranded DNA. This review summarizes current knowledge on the cellular organization of DSB repair and checkpoint proteins focusing on budding yeast and mammalian cells.