The problem about the stability of dynamic routing in computer communication Networks is presented. From system control’s point of view

the control-oriented state space models describing the process of packets transmitted through out the network variables in a multiple traffic and multiple link network are established. In order to study the nonstationary performance of dynamic routing strategy

based on Lyapunov stability theory

some constrains and conditions about the link average utilization function G（·）and the routing variable matrix R￣d ensuring the stability of network are developed. Finally

a simple example and some conclusions are given.