By using a twin-gridded ionization chamber, differential cross-section data of the 64Zn(n,)61Ni reaction were measured at neutron energies of 2.54, 4.00, and 5.50 MeV. The experiment was performed at the 4.5-MV Van de Graaff accelerator of the Institute of Heavy Ion Physics, Peking University, China. Monoenergetic neutrons of 2.54 MeV were produced through the T(p,n)3He reaction with a solid Ti-T target, and those of 4.00 and 5.50 MeV were produced through the D(d,n)3He reaction with a deuterium gas target. The absolute neutron flux was determined through the 238U(n,f) reaction and a BF3 long counter was used as the neutron flux monitor. Results of the present work are combined with our previous data between 5.0 and 6.5 MeV and compared with other measurements and evaluations.