In this paper, we propose a scheme for reducing the latency of packets transmitted via on-chip interconnect network in MultiProcessor Systems on Chips (MPSoCs). In this scheme, the network architecture separates the packets transmitted to near destinations from those transmitted to distant ones by using two network layers. These two layers are realized by dividing the channel width among the cores. The optimum ratio for the channel width division is a function of relative significances of the two types of communications. Simulation results indicate that for non-uniform traffic constituting of more than 30 percent local traffic, the proposed network, on average provides 64% and 70% improvement over the conventional one in terms of average network latency and Energy-Delay product (EDP), respectively. Also, for uniform and NED traffic patterns, by adjusting the number of hops between local nodes to include approximately 55 percent of total communications in local ones, the proposed architecture provides the latency reduction of 50%.