The /sup 238/U(..cap alpha..,..cap alpha..'f) cross section was measured at E/sub ..cap alpha../ = 120 MeV for the scattering angle interval 0/sup 0/--3/sup 0/. By comparing the fission-coincident inelastic alpha spectra in the ranges 0/sup 0/--1.5/sup 0/ and 1.5/sup 0/--3/sup 0/, it is possible to deduce the shape of the giant monopole resonance in /sup 238/U. It was found to be located at E/sub x/approx.77A/sup -1/3/ MeV and to have a width GAMMA(full width at half maximum)approx.6 MeV. If one assumes a fission probability similar to that of the giant dipole resonance, it exhausts about 80% of the isoscalar E0 energy-weighted sum rule. .ID