Based on the key parameters,such as X-ray energy spectrum range,source position and imaging distance,a multi-cone crystal spectrometer with a wide spectral range the and high spectral resolution was designed to overcome problems of aberration detection in the traditional curved crystal spectrometer.The characteristics of the spectrometer are discussed in terms of structure and principle.A continuous and smooth spectrometer has been developed.By single X-ray focal diagnosis,the aberration free detection of X-ray with different energy can be realized.The intensity distribution of the Kα and 〖ＷＴＢＸ〗Kβ spectra at different focusing imaging positions was obtained by multiple diffraction experiments,and the focusing ability and spectral resolution of the spectrometer were analyzed.According to the relationship between X-ray focusing degree and imaging position,the focusing performance of continuous cone spectrometer at different focusing imaging position is analyzed,and the best focusing position is determined.The experimental results show that the focusing ability of the multi-cone crystal X-ray spectrometer has been significantly improved,and the energy spectrum detection range can cover 4.51—5.14 keV,and the spectral resolution can reach more than 600 on the larger size of the light source.