An elliptically bent crystal spectrometer has been designed and fabricated with an X-ray Charge Coupled Device(CCD) as the detector and a piece of PET(2d=0.874 nm) crystal elliptically bent and fixed on a stainless steel substrate with an eccentricity of 0.9586 and a focal length of 1350 mm is used as the dispersive and focusing element to measure 0.44～0.81 nm X-ray spectra emitted from laser-produced plasmas.The experimental results obtained through application experiments performed at the XG-2 target chamber demonstrate that the spectral resolution of this spectrometer approximates 1000.