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Diffusion of Cu adatoms and dimers on Cu(111) and Ag(111) surfaces isanalyzed basing on ab-initio surface potentials. As compared to the simplesingle adatom jumps that alternate between two states, dimers undergo morecomplex diffusion process that combines translational and rotational moves.Diffusion coefficients for these processes on both surfaces are calculated andcompared with diffusion of single particle. The main parameters of diffusioncoefficient: energy barrier and prefactor become temperature dependent whendimer moves jumping between many positions of different values of energy. Smalldifference in the surface lattice constant for Cu and Ag crystal results incompletely different energy landscape for dimer jumps and as an effectdifferent diffusion process. At the same time single adatom diffusion does notchange so much.