The method of boundary parameters allows us to represent displacement functions in terms of their values and the values of their derivatives at the boundary. In the paper presented, using the method of boundary parameters, we construct a solution to the problem on vibrations of laminated orthotropic shells under arbitrary boundary conditions. Using the relationships obtained, we have an opportunity to reduce the number of arbitrary constants by one to five points and to represent the solution in explicit analytical form for a number of types of boundary conditions.