Charmonia and beauty production measurements with J/psi events at LHCb

We report on the possibilities of measuring charmonia and beauty productions with the LHCb experiment. Using reconstructed $J/psi$ decays to $/mu^+mu^-$, both the prompt $J/psi$ and the $b-)J/psi$ production cross sections in p-p collisions at LHC energies will be determined in the $J/psi$ eta range 2-5. Due to the very large statistics, this analysis will be possible very early after the LHC start. Other charmonia related measurements will also be discussed, such as that of the $J/psi$ polarization at production or of the production of some of the new X, Y and Z states.