In the present study, the problem of the natural vibrations of cylindrical panels restrained along the entire perimeter is examined in the linear statement. The solution of this problem presents significant difficulties caused by the skew edges of the panels. The literature contains only investigations of parallelogram plates and cylindrical panels of rectangular planform, where various methods are employed: the Treffits energy method [1], the Bubnov-Galerkin variational method using small-beam functions [2], the Rayleigh-Ritz method [3], the Bubnov-Vlasov variational method in conjunction with the modified method of successive approximations [4], the finite-difference method [5], etc. The vibrations of cylindrical panels of rectangular planform have been investigated by the Bubnov-Papkovich method [6], the Bubnov-Galerkin-Vlasov method [7], and in a number of other studies.