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 $J/\psi$ polarization measurement should help to distinguish between the 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.