In this paper, we present recent STAR J/$psi$ results. J/$psi$ nuclear modification factors ($R_{AA}$) in Au+Au collisions at $sqrt{s_{NN}} =$ 200, 62.4 and 39 GeV and in U+U collisions at $sqrt{s_{NN}} =$ 193 GeV are measured and compared to differe
nt theoretical calculations. We also report J/$psi$ elliptic flow ($v_{2}$) results in Au+Au collisions at $sqrt{s_{NN}} =$ 200 GeV and the first $psi(2S)$ to J/$psi$ ratio measurement in $p+p$ collisions at $sqrt{s} =$ 500 GeV.
We report on a polarization measurement of inclusive $J/psi$ mesons in the di-electron decay channel at mid-rapidity at 2 $<p_{T}<$ 6 GeV/$c$ in $p+p$ collisions at $sqrt{s}$ = 200 GeV. Data were taken with the STAR detector at RHIC. The $J/psi$ pola
rization measurement should help to distinguish between different models of the $J/psi$ production mechanism since they predict different $p_{T}$ dependences of the $J/psi$ polarization. In this analysis, $J/psi$ polarization is studied in the helicity frame. The polarization parameter $lambda_{theta}$ measured at RHIC becomes smaller towards high $p_{T}$, indicating more longitudinal $J/psi$ polarization as $p_{T}$ increases. The result is compared with predictions of presently available models.
