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The resonant tunneling of correlated particles in ac-driving optical lattices is investigated within the Hubbard model.The effective hopping coefficients are density-dependent.We propose two schemes of controlling migration of the particle pair in one or two dimensional lattices via properly manipulating the phases,frequencies as well as amplitudes of the driven fields.In one scheme we employ doubly driving while in the other a single driving but tilting the lattice.We design a bifurcating quantum motion of the pair in contrast to the free quantum walk in the absence of external fields.We also create entanglement between the particle pair and a single particle through interacting oscillations.Our model may provide a new building block for investigating quantum computing and quantum information processing with ultracold atoms in optical lattices.