Neutron absorption cross sections for 94Zr and 96Zr were measured by an activation technique. Absolute gamma-ray counting of the radioactive daughters, with a Ge(Li) detector-multichannel analyzer system, yielded disintegration rates which were calibrated in terms of cross section with gold samples. Results, in barns, for 2200 m/sec cross sections and resonance integrals are 94Zr, 0.052 ± 0.003, 0.30 ± 0.03; 96Zr, 0.020 ± 0.003, 5.0 ± 0.4, respectively. The low value of the 96Zr thermal cross section requires that the resonance at 301 eV be p wave.