The invention discloses a snow-melting ice-thawing method of a composite mesh grid, and belongs to the fields of traffic transportation and disaster prevention. The invention is characterized in that a base layer of an object to be heated is paved orderly with a heat insulation layer, a heat conduction layer, a carbon fiber-glass fiber composite mesh grid treated by electrical isolation and sand adhesion, and a heat conduction layer; temperature measuring elements are embedded on the surface layer of the object to be heated; a carbon fiber beam object to be heated is connected to a controllable power supply with a protection function by a conductive silver colloid and a wire in a series-parallel mode; a digital PID temperature-control system optimizes and adjusts system control parameters according to the surface temperature, surface wind speed, accumulated snow and ice thickness, air temperature and expected time for snow melting and ice thawing, and thus adjusts heat power. The beneficial effect of the present invention is that the method has the advantages of high construction speed, uniform and quick heating, stable performance, long life, and low cost, has the functions of crack resistance and reinforcement, and is an ideal snow-melting ice-thawing method for facilities such as pavement, bridges, and the like.