Making use of the meeting opportunity raised by the movement of nodes, the messages are transmitted with the manner of “store-carry-forward” in opportunistic network. So these networks have a feature of longer delay than conventional ad hoc network. Current routing schemes try their best to deliver packet but leading to definitely network delay and are based on random movement model. According to the social character of nodes in network, the distributed predicting scheme on the expectation of meeting time between nodes is proposed; moreover, according to the estimating results, the relay node can be selected reasonably. With this manner, the message can be forwarded to the destination. Simulations show that the proposed estimating method is accurate; furthermore, comparing with the widely used routing mechanism, the performance on the delay can be improved more than 30%.