An exoscope serves for observing and illuminating an object field on a patient from a position set apart from the patient's body. A lens system serves to observe the object field and an illumination serves to illuminate the object field. A distance between the lens system and the object field can be modified by a bracket. A shaft comprises on its distal end a head member that is widened in comparison to it, so that the illumination reaches into the distal-side head member. Positioned in the head member is at least one radiating illumination unit whose radiant characteristic can be adjusted in such a way that the object field can be illuminated homogeneously at all possible distances from the lens system. Supply lines for the at least one illuminating unit are positioned in the shaft.