The fast neutron flux in near-Earth orbit has been measured with the C
OMPTEL instrument on the Compton Gamma Ray Observatory (CGRO). For thi
s measurement one of COMPTEL's seven liquid scintillator modules was u
sed as an uncollimated neutron detector with threshold of 12.8 MeV. Th
e measurements cover a range of 4.8 to 15.5 GV in vertical cutoff rigi
dity and 3 degrees to 177 degrees in spacecraft geocenter zenith angle
. One of the measurements occurred near the minimum of the deepest For
bush decrease ever observed by ground-level neutron monitors. After co
rrection for solar modulation, the total flux is well fitted by separa
ble functions in rigidity and zenith angle. With the spacecraft pointe
d near the nadir the flux is consistent with balloon measurements of t
he atmospheric neutron albedo. The flux varies by about a factor of 4
between the extremes of rigidity and a factor of 2 between the extreme
s of zenith angle. The effect of the spacecraft mass in shielding the
detector from the atmospheric neutron albedo is much more important th
an its role as a source of additional secondary neutrons. The neutron
spectral hardness varies little with rigidity or zenith angle and lies
in the range spanned by earlier atmospheric neutron albedo measuremen
ts.