MK spectral types are given for about 584 stars in "A Supplement to the Bright Star Catalogue" (Hoffleit et al., 1983, Cat. V/36). The spectra were obtained at Kitt Peak in 1983 on Eastman IIaO emulsions, 15% with the Cassegrain spectrograph on the 2.1m telescope and the rest with a Cassegrain spectrograph on the 0.9m telescope. The spectral types are compared with Hipparcos parallaxes to check the reliability of those classifications. The estimated errors are +/-1.2 subtypes, and 10% of the luminosity classes may be wrong.