The efficient recoil-distance technique for detection of delayed fissions with half-lives in the picosecond range is described. The high efficiency is achieved by using the silicon position-sensitive detectors in order to determine the interaction point and distribution of delayed fission fragments on the plane parallel to the target plane. Calculated curves for these distributions are given. The technique is recommended to be used in experiments with low-intense beams. 8 refs.; 7 figs.; 2 tabs.