Most of the existing works on the cross-layer design of dynamic resource allocation in wireless multi-hop networks assume that every node can avail perfect Channel State Information (CSI) of other nodes in the networks. However, because of the channel fluctuations and the feedback delay, the availed CSI is usually outdated or partly outdated in a dynamic wireless network. In this paper, the impact of outdated channel information is firstly investigated in wireless multi-hop network, and a distributed joint congestion control and power control algorithm with outdated CSI is proposed. The simulation results demonstrate that the proposed algorithm significantly improves network efficiency and energy efficiency of the multi-hop networks.