  We calculate the production and polarization of direct $J/\psi$ in the
improved color evaporation model in $e+p$ photoproduction. We present the
production as functions of transverse momentun, mass of the hadronic final
state, and inelasticity. We also present the polarization parameters
$\lambda_\vartheta$, $\lambda_{\varphi}$, and $\lambda_{\vartheta \varphi}$ in
the helicity and the Collins-Soper frames, as well as the frame-invariant
polarization parameter $\tilde{\lambda}$ as a function of transverse momentum
and inelasticity. We find agreement with both $J/\psi$ unpolarized cross
sections and the invariant polarization parameters as a function of $p_T$.
