In this paper, a distributed secondary MPC control for microgrids based on a multi-agents technique is proposed. This secondary control regulates voltage and frequency, and at the same time imposes restrictions on the output current of each DER. This ensures an adequate current level for electronic converters. To achieve these objectives, the predictive model incorporates the inner primary control loop and utilizes partial information about the microgrid acquired from neighboring DERs, following a multiagent consensus approach. The MPC algorithm is formulated as a Quadratic Programming problem and is solved using a Primal-Dual Interior-Point optimization method. To validate this approach, simulation results are presented, conducted with MATLAB/Simulink and the Simscape toolbox. The results confirm the efficacy of the proposed secondary control method.