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We report the measurement of the leptonic ($e^{+}e^{-}$) decay channel of the$\phi$(1020) meson in Au+Au collisions at $\sqrt{s_{_{NN}}}$ = 200 GeV by theSTAR experiment. The transverse momentum ($p_{\rm T}$) spectrum is measured for0.1 $\le p_{\rm T} \le 2.5$ GeV/$c$ at mid-rapidity ($|y|\le1$). We obtain the$p_{\rm T}$-integrated $\phi$(1020) mass $M_{\phi}=1017.7\pm0.8 (\rm {stat.})\pm0.9 (\rm {sys.})$ MeV/$c^{2}$ and width $\Gamma_{\phi} = 8.0\pm 2.5(\rm{stat.}) \pm 2.3(\rm {sys.}) \textrm{MeV/}c^{2}$, which are within1.5\,$\sigma$ and 1.1\,$\sigma$ of the vacuum values, respectively. Nosignificant difference is observed in the measured $p_{\rm T}$ spectrum,$dN/dy$, or $\left<p_{\rm T}\right>$ of the $\phi$(1020) meson between the$e^{+}e^{-}$ and hadronic ($K^{+}K^{-}$) decay channels as measured by the sameexperiment. The experimental results are compared to a theoretical modelincluding medium-modified $\phi$(1020).

The $\phi (1020)\rightarrow e^{+}e^{-}$ meson decay measured with the STAR experiment in Au+Au collisions at $\sqrt{s_{_{NN}}}$ = 200 GeV