Under the proper conditions, the response of two coupled, nonlinear oscillators driven by a sinusoidal input will contain a pair of subharmonic frequency components. The frequenciesf1andf2of these subharmonic components correspond approximately to the resonance frequencies of the linearized system, and their sumf1+f2is equal to the driving frequencyf. The occurrence of subharmonic pairs requires that the driving force exceed a threshold value. This threshold is determined by an analysis that relates the existence of the subharmonics to the properties of a pair of coupled Mathieu equations. Finally, results are presented of an experimental study of subharmonic‐pair generation in a nonlinear circuit that was constructed to illustrate this phenomenon.