In the experimental study of inertial confinement fusion, the core detection element of the filter fluorescence spectrometer in quantitative diagnostic equipment for hard X-ray spectroscopy is the hard X-ray scintillation detector. In view of this, a method for calibrating the energy sensitivity of hard X-ray detectors based on semiconductor hard X-ray diodes is established, which has the advantages of fast and simple. The traceability of the quantity does not depend on the intensity of the radioactive source, and the calibration uncertainty is 7%. First, the proposed method is used to calibrate the energy sensitivity of sodium iodide and barium fluoride scintillation detectors in different energy sensitivity ranges on hard X-ray machine and Shanghai synchrotron radiation light source, respectively. Second, the theoretical sensitivity curves of the two types of detectors are calculated by using the Monte Carlo simulation program Geant4, and compared with the calibration experimental results, the calibration datasets are extrapolated to the whole energy range (10--100 keV). Finally, the proposed method can be applied to the precise calibration of energy transmittance of vacuum isolator, and the calibration results of low sensitive BaF₂ scintillation detector can be applied to the experimental study of high brightness hard X-ray sources.