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The inclusive production cross sections at forward rapidity of J/$\psi$,$\psi$(2S), $\Upsilon$(1S) and $\Upsilon$(2S) are measured in pp collisions at$\sqrt{s} = 7$ TeV with the ALICE detector at the LHC. The analysis is based ina data sample corresponding to an integrated luminosity of 1.35 pb$^{-1}$.Quarkonia are reconstructed in the dimuon-decay channel and the signal yieldsare evaluated by fitting the $\mu^+\mu^-$ invariant mass distributions. Thedifferential production cross sections are measured as a function of thetransverse momentum $p_{\rm T}$ and rapidity $y$, over the ranges $0 < p_{\rmT} < 20$ GeV/$c$ for J/$\psi$, $0 < p_{\rm T} < 12$ GeV/$c$ for all otherresonances and for $2.5 < y < 4$. The measured cross sections integrated over$p_{\rm T}$ and $y$, and assuming unpolarized quarkonia, are: $\sigma_{J/\psi}= 6.69 \pm 0.04 \pm 0.63$ $\mu$b, $\sigma_{\psi^{\prime}} = 1.13 \pm 0.07 \pm0.14$ $\mu$b, $\sigma_{\Upsilon{\rm(1S)}} = 54.2 \pm 5.0 \pm 6.7$ nb and$\sigma_{\Upsilon{\rm (2S)}} = 18.4 \pm 3.7 \pm 2.2$ nb, where the firstuncertainty is statistical and the second one is systematic. The results arecompared to measurements performed by other LHC experiments and to theoreticalmodels.

Measurement of quarkonium production at forward rapidity in pp collisions at $\sqrt{s}$= 7 TeV