In a solid modeler, one of the most powerful tools to create threedimensional objects with any level of geometric complexity is the application of the Boolean set operations. They are intuitive and popular ways to combine solids, based on the operations applied to sets. The main types of Boolean operations commonly applied to solids are: union, intersection and difference. If there is practical interest, in order to assure that the resulting objects have the same dimension of the original objects, without loose or dangling parts, the regularization process is applied. To regularize means to restrict the result in a way that only filling volumes are allowed. In practice, the regularization is performed classifying the topological elements and removing the lower dimensional structures. The objective of this work is the development of a generic algorithm that allows the application of the Boolean set operations in a geometric modeling environment applied to finite element analysis, which aggregates the following functionalities: working with an undefined number of topological entities (Group concept), working with objects of different dimensions, working with nonmanifold objects, working with objects not necessarily plane or polyhedrical and assuring the efficiency, robustness and applicability in any modeling environment based on B-Rep representation. In this context, the implementation of the algorithm in a pre-existing geometric modeler named MG is presented, using the concept of object oriented programming and keeping the user interface simple and efficient.