The noise from thin gears is dominated by the vibration in an axial direction of gears. This paper presents a method for analyzing the coupled vibration of a rotating gear pair. The vibration of each dear is expressed as a series of the eigenfunctions which are given in the form of rotating waves. The frequency equation is derived from Mindlin's plate theory by using the receptance method. The analysis indicates that vibration modes of the rotating gear pair are fixed in space. Some numerical examples are presented, and the experimental results are shown to be in good agreement with the theoretical ones.