A method of fine tuning a thermally tunable superconductor filter. A HTS filter is placed in a vacuum condition at a superconductive transfer temperature, then the ambient temperature is reduced to a temperature lower than the superconductive transfer temperature. The dynamic inductance of a resonator inside the HTS filter is varied with the varying ambient temperature by controlling the thermal heater around the open end of the resonator, so as to tune the resonant frequency of the HTS filter.