Current Network-on-Chip (NoC) architectures sometimes employ mesh or torus topology with the dimensionorder routing. In this paper, we propose a deadlock-free routing algorithm, referred to as Balanced Dimension-Order Routing (BDOR), which provides the balanced minimal paths to each destination based on the simple routing regulations. Since the BDOR has the similar path regularity to that of the dimensionorder routing, its implementation can be lightweight, and most of its modules can be borrowed from the router for the dimension-order routing. Evaluation results show that the BDOR router increases by 3.4% hardware amount compared with the router for the dimension-order routing. Also show that the throughput of the BDOR outperforms on average up to 14% that of the dimension-order routing on two-dimensional mesh and torus.