A stereomicroscope in which the axes of the two stereo channels are guided in parallel behind the objective assembly. Two different embodiments of the objective assembly are disclosed. One embodiment contains a common main objective for both individual stereoscopic pencils as well as a pair of wedge prisms of dispersive action to correct for the chromatic aberration in the direction of the stereo base which is produced as a result of the eccentric passage of the individual pencils through the objective. The second embodiment comprises a pair of individual objectives (Greenough type) which are inclined to each other, as well as a pair of a chromatic wedge prisms in order to adapt the angle of inclination of the objectives to the parallel passage of the beam in the tube.