A practical BF 3 ·OEt 2 -catalyzed regioselective 1,2-addition or 1,4-hetero-Michael addition of oxygen, sulfur, and nitrogen nucleophiles to maleimides has been developed for the synthesis of alkyl fumarate derivatives or 3-substituted succinimides, respectively. This reaction system has wide substrate scope and gives moderate to excellent yields (up to 96%) of the desired products. In contrast to the base-catalyzed methods, this strategy is very general, simple, environmentally friendly, and tolerant of oxygen.