The authors present new measurements of the near-infrared J-H and H-K colors of comets in the heliocentric distance range 1 ≤ R ≤ 6 AU. The measuremens are used to test the hypothesis that cometary color is a function of heliocentric distance, as has been recently advanced by Hartmann and Cruikshank (1984). The authors find no evidence for a color-distance trend in their sample of 23 comets observed and analyzed according to systematic procedures. Instead, the intrinsic scatter among the J-H, H-K colors of comets at a given R is larger than any systematic variation of color with R, indicating real differences between the grain populations in different comets. The color distributions are unimodal; unlike the asteroids, the comets defy classification into distinct color-definded groups.