The ratio of the fission cross section of 235U to the scattering cross section of 1H has been measured in the 1- to 6-MeV range using monoenergetic neutrons from a pulsed 3H(p, n)3He source. In this measurement, solid-state detectors determined fission fragment and recoil proton emissions from back-to-back U(99.7%) and polyethylene disks. Timing permitted discrimination against room-scattered neutron backgrounds. Absolute values for 235U(n, f) are obtained using the Hopkins-Breit evaluation of the hydrogen-scattering cross section.