The locations of 48 energy levels ln Hf have been deduced from p-ray singles, conversion-electron, and y-p coincidence measurements on the Ec-P decay of Ta. Over 300 pray transitions have been observed in the~Ta decay spectrum, and about 140 of these have been definitely assigned to the 7 Hf level scheme on the basis of 75 y-y coincidence spectra. Spin and parity assignments are proposed for 27 levels besides the ground-state rotationalband members. Less extensive y-ray singles data from Lu and Lu decay have also been obtained; these are found to be consistent with the 7 Hf level structure proposed on the basis of Ta decay data. Two 0+ excitations in 8Hf identified at 1150 and 1293 keV are found to display quite different decay properties. Evidence for the existence of a series of low-spin four-quasiparticle states near 3 MeV is cited. The Hf level structure is compared with available theoretical calculations, and a preliminary interpretati. on of several unusual features of the level scheme is presented.Counting was usually begun within three hours after the end of irradiation. Relatively small quantities of '"Ta, '"Ta, and "8Ta contamination were noted in the y-ray spectra.