The invention discloses a digital integration algorithm based on DC shifting analysis and negative feedback control; the algorithm is applied to signal processing of a Rogowski coil current transformer, and comprises the following steps: S1, using an A/D converter to carry out data transformation for Rogowski coil output signals, wherein the transformed signal contains a DC component; S2, using an improved AL-ALaoui integration algorithm to carry out integration processing for the signal; S3, using a low pass filter to carry out low pass filtering for the signal integrated by the AL-ALaoui integration algorithm, and extracting the DC component after signal conditions and A/D sampling. When an integrator inputted digital signal has DC shifting or the integration initial phase is not at 90 degree or -90 degree, the novel digital integration algorithm can identify integrated DC shifting and use certain adjusting method to reduce the output signal DC shifting down to 0; according to simulation analysis and reality applications, the novel digital integration algorithm can be well applied to the Rogowski coil current transformer.