Measurement of the $D^0 \rightarrow \phi \eta$ Branching Fraction

We present a preliminary result for branching fraction measurement of the decay $D^0 \rightarrow \phi \eta$ where $D^0$ comes from the decay $D^{*+} \rightarrow D^0 \pi^+$. We use a high statistics data sample collected with the BaBar detector at the PEP-II asymmetric $e^{+} e^{-}$ collider at SLAC.