High detection efficiency for a neutron telescope spectrometer is achieved without the usual sacrifice in energy resolution by replacing the standard radiator by a series of radiators, each of which is backed by a silicon transmission detector. By adding the pulses from the transmission detectors, with appropriate gains, to the pulse from the final thick detector, in which the proton recoil stops, a signal is produced which is proportional to the energy of the proton recoil, with an energy uncertainty of one‐half the energy lost by the proton in a single radiator. Thus the energy resolution is determined, for small recoil angles, by the thickness of a single radiator, whereas the detection efficiency is determined by the sum of the radiator thicknesses. Details of operation, efficiency calculation, data analysis, and several spectra demonstrating the performance are discussed. Possible extensions and improvements of the system are considered.