Differential cross sections of the 64Zn(n,)61Ni reaction were measured at neutron energies of 5.03 and 5.95 MeV by using a gridded ionization chamber. The experiment was performed at the 4.5-MV Van de Graaff accelerator of the Institute of Heavy Ion Physics, Peking University. Neutrons were produced through the D(d,n)3He reaction with a deuterium gas target. The absolute neutron flux was determined by the 238U(n,f) reaction and a calibrated BF3 long counter. Present results are compared with existing data.