Measurements have been made of the neutron intensities above the atmosphere at rocket altitudes with a moderated He³ neutron detector. The He³ proportional counter was encased in a polyethylene moderator, and the moderator and neutron detector were surrounded by a ring of charged particle counters to discriminate against neutrons produced in the detector assembly by galactic and solar cosmic rays. Flights were made from 1965–1967 at 0°, 20°, 50°, and 70° geomagnetic latitudes (λ). The neutron counting rates at these latitudes are 0.3, <0.7, 1.7, and 3.0 sec−1, respectively. These counting rates can be converted to a neutron leakage flux in the energy range 10 to 5 × 106 ev by using the neutron detector calibration curve and Lingenfelter's calculated neutron energy spectrums at different latitudes. The neutron leakage flux is 0.08 ± 0.02 and 0.80 ± 0.10 neutrons/cm² sec at λ = 0° and λ = 70°, respectively. This latitude effect is about 10/1, less than the 13/1 ratio calculated by Lingenfelter in 1963. For λ < 50°, the measured and the calculated neutron fluxes agree.