Fourth party logistics and third party logistics constitute a principal-agent relationship. Due to the asymmetric information and risk averse, it is difficult to design fourth party logistics delivery time contract, which is studied in the centralized decision-making, symmetric cost information and asymmetric cost information scenarios respectively. The optimal delivery time contract is obtained and the optimal results are analyzed. Results show that the optimal contract
can incite the third party logistics, and manage the delivery time effectively. However, both the asymmetric information and risk averse can reduce the channel performance. The numerical experiment is given to show the effect of asymmetric information and risk averse on the optimal delivery time contract.