A combination weighing system, which is typically used for packing a plurality of articles in each bag or the like, including a plurality of weighing balances for weighing a plurality of articles at the same time, arithmetic means for selecting some of these weighing balances so that the total weight of the articles on the selected balances falls within a predetermined range, and means for unloading the selected weighing balances to collect the articles thereon and then loading them with new articles, respectively, to initiate the next cycle of operation; and means for enabling initiation of the next cycle of operation before completion of the preceding cycle to allow selection from the unselected balances for the purpose of economy of time.