The invention discloses a current source grid-connecting converter control method, comprising: subtracting a given DC voltage reference value from a sampled DC side outputted voltage to obtain a voltage error signal; via the control of a first PI regulator, obtaining a DC current reference value; comparing the sampled DC side outputted current with a current reference value to obtain a current error signal controlled by a second PI regulator, wherein the DC side outputted current is controlled by the feedback resonance; subtracting the two outputs to obtain a modulation signal amplitude; using the phase angle theta of the sampled grid voltage and the detected grid voltage; multiplying the modulation signal amplitude by the orthogonal unit signals sin theta and -cos theta to obtain the modulation signals M[alpha] and M[beta] in a two-phase stationary coordinate system; using a notch filter to filter the third harmonic wave in the modulation signals M[alpha] and M[beta] to obtain new modulation signals M[alpha] and M[beta]; then respectively calculating the amplitude m and the phase angle information; and through the space vector modulation method, generating the driving signals. The method of the invention can effectively reduce the double frequency pulsation at the direct current output side and realize the sine wave of the network side current at the same time.