Rectifier circuits make a large number of higher harmonics in the mains and lower the power factor (PF). To reduce this harmful effect, rectifier circuits with electronic control are introduced. This article presents two Power Factor Correction rectifier circuits: I- and 3 -phase circuits. We present here the method of controlling these rectifiers, that allows to increase the power factor of these rectifiers. In the article we present also an algorithms, that provide this controlling The simulation results confirms effectiveness of the proposed controlling. Presented method of controlling of 1- and 3 -phase rectifiers causes, that the current drawn from the main is close to sinusoid and has the same phase as feeding voltage. Computer simulations confirmed effectiveness of the presented controlling So this circuits can be considered as the Power Factor Correction circuits.