Improved circuit partitioning methods are provided which combine the advantage of multiple starting positions of the random initial placement approach with the advantage of optimal starting positions of the greedy initial placement approach, by starting with greedy initial placement and modifying partitioning constraints on subsequent passes so that each pass begins in a new position, In addition, the partitioning goals of interconnection minimization and resource utilization efficiency may be prioritized according to a design goal by manipulating the manner in which partitioning constraints are changed during each partitioning pass. Furthermore a user may adjust the weight of the benefits for eliminating existing interconnections and the weight of the penalties for adding new interconnections in accordance with a design goal.