A hand-held color measurement device is provided that is designed especially for measurements on curved surfaces includes a housing that accommodates a measurement array and further includes a housing base and a measurement opening arranged in the housing base, through which measurement opening a measurement spot on the surface of a measurement object is illuminated and the measurement light reflected by the measurement spot is picked up. The measurement array includes an illumination array for applying illumination light to the measurement spot in at least one illumination direction, and a pick-up array for detecting the measurement light in at least one observation direction. A multi-point bearing includes at least three pin-shaped support members and is arranged on the housing base. Two support members lie symmetrically on both sides of the measurement opening, wherein their connecting line extends parallel to and in the immediate vicinity of an illumination-observation plane which is defined by the illumination and observation directions. The third support member lies transversely at a distance from the other two support members.