  We report on the measurements of the fluxes and spectra of the environmental
fast neutron background at the China Jinping Underground Laboratory (CJPL) with
a rock overburden of about 6700 meters water equivalent, using a liquid
scintillator detector doped with 0.5% gadolinium. The signature of a prompt
nuclear recoil followed by a delayed high energy $\gamma$-ray cascade is used
to identify neutron events. The large energy deposition of the delayed
$\gamma$-rays from the $(n, \gamma)$ reaction on gadolinium, together with the
excellent n-$\gamma$ discrimination capability provides a powerful background
suppression which allows the measurement of a low intensity neutron flux. The
neutron flux of $(1.51\pm0.03(stat.)\pm0.10(syst.))\times10^{-7}$
cm$^{-2}$s$^{-1}$ in the energy range of 1 -- 10 MeV in the Hall A of CJPL was
measured based on 356 days of data. In the same energy region, measurement with
the same detector placed in a one meter thick polyethylene room gives a
significantly lower flux of $(4.9\pm0.9(stat.)\pm0.5(syst.))\times10^{-9}$
cm$^{-2}$s$^{-1}$ with 174 days of data. This represents a measurement of the
lowest environmental fast neutron background among the underground laboratories
in the world, prior to additional experiment-specific attenuation.
Additionally, the fast neutron spectra both in the Hall A and the polyethylene
room were reconstructed with the help of GEANT4 simulation.
