Thin shells of revolution, closed in the circumferential direction, and with an arbitrary meridian shape, are considered. The density of the vibration frequencies is determined by using an asymptotic method of integration [1 - 3]. The density of the frequencies in the neighborhoods of condensation points is investigated. The question of the density of vibration frequencies of thin shells has been examined in [4 - 7]. Shallow shells of rectangular planform were examined in [4, 5].