  Based on 4.5 $\mbox{fb$^{-1}$}$ $e^{+}e^{-}$ collision data collected with
BESIII detector at seven energy points between 4.600 and 4.699 GeV, the
branching fractions for $\Lambda_{c}^{+}\to p\eta$ and $\Lambda_{c}^{+}\to
p\omega$ were measured by means of single-tag method. The branching fractions
of $\Lambda_{c}^{+}\to p\eta$ and $\Lambda_{c}^{+}\to p\omega$ are determined
to be $(1.57\pm0.11_{\rm {stat}}\pm0.04_{\rm{syst}})\times10^{-3}$ and
$(1.11\pm0.20_{\rm{stat}}\pm0.07_{\rm{syst}})\times10^{-3}$, with a statistical
significance of greater than 10 $\sigma$ and 5.7 $\sigma$, respectively. These
results are consistent with the previous measurements by BESIII, LHCb and
Belle, and the result of $\Lambda_{c}^{+}\to p\eta$ is the most precise to
date.
