An X-ray exposure apparatus has a plasma X-ray source for generating X-rays by producing a plasma, and a collimator for converging X-rays that diverge from the X-ray source and reducing a global divergence angle to irradiate a mask with the X-rays. A local convergence angle as seen from one point on the mask is changed by moving the position or angle of the collimator in a direction perpendicular or parallel to the axis of the collimator. The pattern on the mask is transferred to a wafer using X-rays having a convergence angle thus controlled. As a result, controllable parameters are increased and a more suitable resist pattern can be obtained. In addition, process tolerance in terms of exposing finer patterns is improved.