A computer model of reorientation processes in the bipolar nematic droplets of ellipsoidal form with strong tangential anchoring has been developed. The approximate formula to estimate the Friedericksz threshold has been obtained when the operating field (electric or magnetic) is orthogonal to the bipolar axis. The dependence of the threshold field on the droplet form has been considered. The reorientation of the bipolar droplets of 5CB nematic liquid crystal dispersed in polyvinylbutyral has been studied by the magneto-optical method. The calculation data are in good agreement with measured values of the threshold field.