  The process $e^{+}e^{-} \rightarrow \phi\eta$ is studied at 22 center-of-mass
energy points ($\sqrt{s}$) between 2.00 and 3.08 GeV using 715 pb$^{-1}$ of
data collected with the BESIII detector. The measured Born cross section of
$e^{+}e^{-} \rightarrow \phi\eta$ is found to be consistent with
{\textsl{BABAR}} measurements, but with improved precision. A resonant
structure around 2.175 GeV is observed with a significance of 6.9$\sigma$ with
mass ($2163.5\pm6.2\pm3.0$) MeV/$c^{2}$ and width
($31.1_{-11.6}^{+21.1}\pm1.1$) MeV, where the first uncertainties are
statistical and the second are systematic.
