Using a gridded ionization chamber, angular distributions for the 64Zn(n, )61Ni reaction were measured at 5.0, 5.7, and 6.5 MeV. The neutrons were produced through the D(d,n)3He reaction. The neutron flux was determined through the 238U(n, f) reaction. The results show a backward peak in the center-of-mass reference system for 5.7 and 6.5 MeV. The cross sections are 72.5, 72.0, and 70.8 mb for 5.0, 5.7, and 6.5 MeV, respectively.