Energy spectra of protons and helium nuclei in the primary cosmic rays were measured above 1 TeV in a series of balloon flights of emulsion chambers. Differential spectra may be represented by power laws of indices -2.81 ± 0.13 and -2.83± 0.20 for protons and He, respectively. No index change was observed for either species over the energy ranges 5-500 TeV for protons and 2-50 TeV/nucleon for He. Intensities were consistent with extrapolations of previously published data below 1 TeV/nucleon.