The vibration analysis of shallow spherical shells is extended to (a) frequencies of the order of magnitude of the first thickness‐shear mode in an infinite plate and (b) moderately thick shells. A tenth‐order system of three uncoupled differential equations is derived, which govern the nonsymmetric dynamic deformation of a shallow spherical shell subjected to arbitrary time‐dependent surface loads, and separable solutions are obtained in terms of Bessel functions. As an example, a frequency equation is deduced for the determination of natural frequencies higher than those accurately predicted by the classical theory for free vibration of a shallow spherical cap with a clamped edge.