Classical research on the circadian rhythms of plants helped to demonstrate that all living organisms utilize circadian clacks to adapt their day-night cycles and that the clock is the basis for photoperiodic time measurements. Molecular models for the circadian oscillator have now been elucidated in Drosophila, Neurospora, mice and cyanobacteria. All share a similar feedback structure, but key proteins in each of the oscillators are different. A plant clock model has yet to be proposed, but clock mutants of Arabidopsis are expected to reveal key proteins in the mechanism. Here we discuss how a self-sustained oscillation is established in eukaryotic and prokaryotic models, and the polyphyletic evolution of these clock systems.