The reversal signals and eye movements of three subjects looking at a Necker cube that moved sinusoidally in the subject's field of view were recorded. The aim of the experiment was to provide evidence of possible synchronisation of perceptual alternation with smooth periodic eye movements. The occurrence of synchronisation was demonstrated for a proper choice of the eye oscillation period by both a sharp reduction in the fluctuations of the reversal time and a change in the mean value of this parameter. Such variations resulted in a close match of the mean reversal time to a multiple of the eye oscillation period. Further, inversions of the direction of eye movements elicited pattern reversals in a systematic way, characteristic for each subject. The described phenomenon, which is a typical example of nonlinear-resonant behaviour, stresses a new important aspect of the complex interaction pattern relating pursuit eye movements to visual perception.