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Efficiently tuning the output intensity of an optical device is of vital importance for the establishment of optical intercon-nects and networks.Thermo-optical modulation is an easily implemented and convenient approach and has been widely employed in photonic devices.In this paper,we proposed a novel thermo-optical modulator based on a microfiber knot resonator[MKR]and graphene heater.Upon applying voltage to graphene,the resonant property of the MKR could be thermally tuned with a maximum phase shift of 2.1π.Intensity modulation shows a fast optical response time thanks to the high thermal conductivity of graphene and the thin microfiber diameter of the MKR.