Progression through mitosis is controlled by cyclin-dependent kinases, which drive cells into metaphase, and by the anaphase-promoting complex/cyclosome, a ubiquitin ligase that triggers sister chromatid separation and exit from mitosis. Recent work has shown how the mutual regulation between cyclin-dependent kinases and the anaphase-promoting complex/cyclosome ensures that cell-cycle events occur in the right order. The analysis of complexes required for sister chromatid cohesion and chromosome condensation has revealed how cyclin-dependent kinases and the anaphase-promoting complex/cyclosome control the behaviour of chromosomes.