Conventional predictive controller selects the optimal switching state out of the available switching states by appropriate cost function optimisation. The direct application of the optimal switching state without a modulator restricts the use of carrier interleaving techniques with predictive control of parallel converters. The paper proposes a constant switching frequency predictive controller for parallel AC/DC converters with an intermediate modulation stage. The paper combines the generalised discontinuous pulse width modulation (GDPWM) technique with carrier interleaving for reducing both the switching losses of the converter and the harmonic distortion of grid currents. The parallel converter operate with separate DC loads for mitigating the flow of circulating currents. The controller guarantees good and quick dynamic response. The performance of the proposed controller-modulation is evaluated using MATLAB/SIMULINK. The paper analyses the performance of the parallel rectifier with individual converters operating at different DC load voltages and different power factor angles. © 2020 IEEE.