The critical power ( _ w cr ) is the highest power that can be sustained relying exclusively on aerobic metabolism, although unevenly distributed among muscle fibres, and thus, it is the highest power for which oxygen consumption is, not only in theory, the sole source of metabolic energy. As such, the _ w cr concept is fundamental in exercise physiology for its strict relation to the concept of metabolic steady state and for its association to the maximal lactate steady state. The _ w cr corresponds to the y-axis asymptote of the hyperbolic relationship between sustained power and time to exhaustion. The curvature of the hyperbole defines a constant corresponding to the amount of mechanical work that can be sustained above the _ w cr (energy store component). The energy store component does not correspond to the anaerobic capacity, but to the amount of work that can be carried out at powers higher than the _ w cr , the energy sustaining it deriving from both aerobic and anaerobic sources. After a survey of the descriptive physiology of _ w cr , the case of intermittent exercise is discussed, as is the relationship between _ w cr and the maximal aerobic power. Finally, the three-parameter model of _ w cr , taken as an example of generalization, is considered, evidencing the relation between its y-axis intercept and the maximal instantaneous anaerobic alactic power. The determination of _ w cr is a key issue in exercise testing. Procedures for simplifying its determination have been proposed.