In this presentation we discuss the contribution of the three-pomeron configurations to quarkonia production in proton-proton collisions. This mechanism provides a natural explanation of the elevated multiplicities of the produced charged hadrons in the events with production of charmonia. The suggested mechanism gets dominant contribution from the region which can be theoretically described by CGC/Saturation approach, and numerically gives a substantial contribution to the J/ψ production. It is able to describe the experimentally observable shapes of the rapidity, momenta and multiplicity distributions. This implies that contribution of multipomeron (multigluon) mechanisms might be numerically substantial and should be analyzed in more detail.