A frequency synthesizer includes a first oscillator that outputs a first oscillation signal. A first phase shifter outputs two first signals which are out of phase by 90°. A second oscillator outputs a second oscillation signal. A second phase shifter outputs two second signals which are out of phase by 90°. To a first mixer, one of the first signals and one of the second signals are input. To a second mixer, the other one of the first signals and the other one of the second signals are input. An adder adds combined outputs from the first and second mixers. A phase switching device changes the phase relationship between the two first signals or the two second signals input to the first mixer and the second signal. An input allowing/prohibiting switching device allows or prohibits the second signals from being input to the first and second mixers. The adder outputs one of a signal at the same frequency as that of the first oscillation signal, a signal at the sum frequency of the frequencies of the first oscillation signal and the second oscillation signal, and a signal at the difference frequency between the frequencies of the first oscillation signal and the second oscillation signal.