Provided in the present invention is an adjustment and design method of an illumination system matched with multiple objective lenses in an extreme ultraviolet lithography machine; the illumination system to which the method is applied comprises a light source, a collection lens, a field compound eye, a pupil compound eye and a relay lens group; the method specifically comprises the steps: before a projection objective lens of an extreme ultraviolet lithography machine is replaced, calculating aperture angles of emergent ray of a relay lens A on a meridian plane and a sagittal plane by means of ray tracing; after the projection objective lens of the extreme ultraviolet lithography machine is replaced, taking out a central point of a exit pupil plane as an object point for ray tracing; adjusting inclination angles and positions of the relay lens A and a relay lens B, and adjusting inclination angles of central compound eye units of the pupil compound eye and the field compound eye, till an image plane of a current illumination system approximates to an arc-shaped image plane corresponding to the projection objective lens. By adjusting the illumination system on the basis of the adjustment method of the present invention, an illumination system matched with the projection objective lens system can be obtained, which dramatically reduces the cost of designing a projection lithography machine.