  We investigate $J/\psi$ production at a Photon Linear Collider (PLC) in the
framework of NRQCD factorization approach. It was shown that color octet
contribution is dominating in charmonium production at PLC. The main fraction
of $J/\psi$ comes from the single and double resolved photon processes.
Expected cross sections of charmonium states production are large enough even
at $p_T>5$ GeV to expect several hundreds of $J/\psi$'s through the leptonic
decays channel for a projected integral PLC luminosity of $50 fb^{-1}$}
