In view of problems that space vector pulse width modulation strategy of two-stage matrix converter has high control complexity and cannot adjust input power factor of the two-stage matrix converter, a scheme of indirect space vector modulation strategy was proposed, which average DC voltage in PWM period is a constant value and so modification to modulation coefficient of the inverter is avoided, and which input power factor angle is adjustable. Then the modulation strategy was simplified by use of reference voltage and matrix converter, and so the reactive power and output voltage could be controlled more effectively. The simulation result verifies correctness and validity of the modulation strategy.