The invention discloses a frequency-conversion heating air conditioner. The frequency-conversion heating air conditioner comprises a heating plate, an insulating support plate, a magnetic induction loop, a control main panel, a fan and a case. The heating plate is fixed in the case through the insulating support plate, and both the heating plate and the insulating support plate are provided with a plurality of air holes; a heat discharge air port is formed in the case, the fan is fixed in the case and located behind the heating plate, and the fan aligns to the heat discharge air port; the magnetic induction loop is fixed behind the insulating support plate, matched with the heating plate and electrically connected with the control main panel, and the control main panel is further electrically connected with the fan. According to the frequency-conversion heating air conditioner, the magnetic induction loop is powered on, the heating plate generates vortex and emits heat under the magnetic effect of the magnetic induction loop, and electric energy can be converted into heat energy. According to the conversion method, losses of the electric energy are small, the electric energy conversion efficiency is high, and the frequency-conversion heating air conditioner will not generate noise or peculiar smell even if the frequency-conversion heating air conditioner is used for a long time.