The model of multilayer cylinder glaciation dynamics, which reflecting the specific characteristics of glaciation in a sea water, and calculation method of the average thermophysical characteristics of a sea ice were suggested. The calculations of the unsteady problem using grid method with the explicit separation of the glaciation front and using ODE modeling a glaciation of multilayer cylindrical surface at the quasistationary approximation are presented. The analytical solution to the quasistationary variant of the glaciation model at thinlayer approximation is given.