The paper deals with a nonaxisymmetric problem of free longitudinal vibrations of hollow piezoceramic cylinders with boundary conditions on the ends. Piezoceramics is polarized in the axial direction. The lateral surfaces are free from the external loading and are covered by thin electrodes which are short-circuited. After separation of variables and representation of the displacement vector components in the form of standing waves in circumferential direction, the initial three-dimensional problem is reduced to the two-dimensional one. The solution of the problem is based on the combination of the method of spline-collocation in the longitudinal coordinate and the method of step-by-step search in the radial coordinate. Results of numerical analysis of cylinder made from PZT 4 piezoceramics are presented for a wide range of geometric characteristics of the cylinder.