A computer algorithm for spectral color matching has been developed by means of a minim ax approximation to approximate an absorption band by linear combination of several dyes. The minimax approximation always gives feasiale solutions and small errors than a least squares method. Suitable computer programs have been developed based on the linear programming theory for an IBM-1130 computer in FORTRAN IV language. Some practical approximations have been demonstrated for spectrally matching colors of human skin, blue sky, and nonselsctive gray of 50% luminous reflectance with twelve component dyee.