  We report the likely GeV $\gamma$-ray emission from the composite supernova
remnant (SNR) COMP G327.1+1.1 by analyzing $\sim$12.2 years of the
\textit{Fermi} Large Area Telescope (\textit{Fermi}-LAT) Pass 8 data. We found
the features of its \textbf{ranges of} spectrum and luminosity are well
consistent with those of the observed COMP SNRs in the Milky Way. Moreover, the
position of the source matches those in radio and TeV energy bands, we propose
that the $\gamma$-ray source is likely to be a GeV counterpart of COMP
G327.1+1.1. Considering the case of the association from COMP G327.1+1.1 and
the $\gamma$-ray source, we interpreted its broadband spectral energy
distribution (SED) by using three simple stationary models including one-zone
and two-zone leptonic models and one-zone leptohadronic model. We found that
the simple two-zone model dominated by leptons can better explain its SED.
  More high-energy data are expected to firmly confirm the association between
the $\gamma$-ray source and COMP G327.1+1.1 in the future.
