The dynamical methods of determination of thermophysical properties of materials are widely uses nowadays. The wet materials are of great interest because of their dual-phase state, that may take place in some conditions. The problem of determination of heat transfer coefficients into the state above is still not solved. It is important to have information about temperature field into the specimen at any sharp we need. The only numerical analyses can provide us this data. This article presents numerical model of the Stephan’s problem, that describes temperature field of the specimen in the dual phase state with moving phase border.