The wavefront coding extension the depth of field (DOE) of an imaging system is by insert a phase plate into the pupil plane of a spatially incoherent imaging system, the encoded image can be digitally restored to produce a final image with improved depth dependent detail. To study the multicolor imaging performance of a logarithmic wavefront coding system, the phase and chromatic aberration variation with wavelength are analyzed, and characteristics such as shape, distribution and width of two wavelengths' PSF are compared. The research results show that if the chromatic aberration is excellently corrected then the technology can be used for multicolor even broadband spectrum DOE imaging system. Otherwise, the encode image can not be effectively decoded.