All-reflection Fourier transform imaging spectrometer has important application in the fields of aerospace remote sensing etc. The specifical set of the cylindrical lens and collimation system causes the optical structure sophisticated and difficult in design, installation and maintenance. A structure without imaging lens was proposed to achieve the imaging spectral detection, which shows the feasibility of achieving imaging spectral detection. The spectral detection simulation experiments of wavelength 632.8 nm, 940 nm and 3000 nm show that it’s deviation of spectral measurement is less than 1%.