  We present analysis of NuSTAR X-ray observations in the 3-79 keV energy band
of the Seyfert 2 galaxy NGC 4388, taken in 2013. The broadband sensitivity of
NuSTAR, covering the Fe K$\alpha$ line and Compton reflection hump, enables
tight constraints to be placed on reflection features in AGN X-ray spectra,
thereby providing insight into the geometry of the circumnuclear material. In
this observation, we found the X-ray spectrum of NGC 4388 to be well described
by a moderately absorbed power law with non-relativistic reflection. We fit the
spectrum with phenomenological reflection models and a physical torus model,
and find the source to be absorbed by Compton-thin material (N$_{H} =
(6.5\pm0.8)\times10^{23}$ cm$^{-2}$) with a very weak Compton reflection hump
(R $<$ 0.09) and an exceptionally large Fe K$\alpha$ line (EW $=
368^{+56}_{-53}$ eV) for a source with weak or no reflection. Calculations
using a thin-shell approximation for the expected Fe K$\alpha$ EW indicate that
an Fe K$\alpha$ line originating from Compton-thin material presents a possible
explanation.
