Quarkonium Production at LHCb

I will review a selection of LHCb results on the production of heavy quarkonium states in pp collisions, including the recent results on J/psi and Y(nS) (n=1,2,3) production at sqrt(s)=8TeV, as well as preliminary results on J/psi production in proton-lead collisions at sqrt(s_NN)=5TeV.