This letter presents an oblivious and load-balanced routing (OLBR) method without virtual channels for 2D mesh Network-on-chip (NoC). To balance the traffic load of network and avoid deadlock, OLBR divides network nodes into two regions, one region contains the nodes of east and west sides of NoC, in which packets are routed by odd-even turn rule with Y direction preference (OE-YX), and the remaining nodes are divided to the other region, in which packets are routed by odd-even turn rule with alterable priority arbitration (OE-APA). Simulation results show that OLBR's saturation throughput can be improved than related works by 11.73% and OLBR balances the traffic load over entire network.