There exists the energy shortage problem of the nodes deployed in the field in sensor network. The new type of node which uses the energy harvesting technology can prolong the work time by collecting energy from environment periodically. Thus energy consumption is no longer the only concerned factors in this passive sensing network. Taking into account the energy consumption and delay comprehensively can make the node obtain a longer life cycle while increasing the speed of data sending to the base station. To solve the problem that most of the existing routing protocols applied to passive sensing networks cannot balance the problem of power consumption and delay performance, this paper presents the balance of energy and delay opportunistic routing protocol (EDOR) to improve the performance of energy consumption and delay. The protocol estimates the expected energy consumption value of the node by analyzing the node transmission process, so that the node chooses the neighbor node with low energy consumption as the forwarding candidate. When the final forward node is determined, this protocol makes a decision by considering the duty cycle information of the next hop neighbor node among candidate nodes, so that the sending node chooses the candidate node that will forward the data faster to reduce the delay, which realizes the balance of energy consumption and delay performance. Finally, this protocol also reduces the number of unnecessary copies of data packets during the opportunistic routing process by designing a back-off strategy to achieve the singularity of the forwarding nodes.