A multi-phase modulator for modulating n digital data into a 2.sup.n digital phase modulated signal includes digital-analog convertors for converting the digital data into analog signals, automatic gain compensators for controlling output levels of the analog signals, binary phase modulators for modulating the analog signals, a 90-degree phase shifter operatively connected to the binary phase modulators for providing modulated signals, the modulated signals being phase shifted from one another by 90-degrees, and offset compensators for compensating and adjusting offsets of orthogonal adjustment by automatic control, the offset compensators including DC offset compensators for controlling DC voltages of the digital-analog convertors, gain offset compensators for controlling gains of the automatic gain compensators, and a phase offset compensator for controlling phases of the modulated signals provided by the 90-degree phase shifter and input to the binary phase modulators.
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