Abstract: To determine the half-life of gaseous fission product ⁸⁸Kr accurately, three purified ⁸⁸Kr sources were prepared from irradiated uranium targets by using a radiochemical separation process. With ⁸⁵Kr as the internal monitor, ¹³⁷Cs/⁵⁷Co as the external label sources, both single detector position relay method and double detectors position relay method were applied to track the characteristic 196.3 keV gamma rays by multiple high purity germanium detectors covering more than eight times half-lives. The results from three separate determinations were discussed, and a half-life of (2.796±0.015) h for ⁸⁸Kr was presented.