We investigated the tunneling current peculiarities in the system of two quantum dots that are coupled by means of the external field and are weakly connected to the electrodes in the presence of Coulomb correlations. It was found that tuning of the Rabi frequency induces fast multiple tunneling current switching and leads to the negative tunneling conductivity. Special role of multielectron states was demonstrated. Moreover we revealed conditions for bistable behavior of the tunneling current in the coupled quantum dots with Coulomb correlations.