Applied in the grid-connected inverter, the internal-model based repetitive control usually features that the delay time is designed according to the nominal grid-frequency. When the grid-frequency deviates, the high-gain pass-bands of the conventional repetitive control will deviate the frequencies of actual fundamental and harmonic currents. Consequently the steady accuracy will degrade. This paper proposes a multi-internal-model repetitive control, with ancillary repetitive control loops considering the deviation of grid-frequency parallel embedded. The weight coefficients for the ancillary loops are designed based on the stability analysis of the multi-internal-model repetitive control in frequency domain. From the simulation results, compared with the conventional repetitive control, the proposed control features an equal steady accuracy in the nominal grid-frequency and a developed steady accuracy when grid-frequency deviates, and consequently an improved quality of the current into grid.