With the rapid development of China’s crowdsourcing logistics industry， the modern crowdsourcing logistics industry service quality promoting effect and ways of logistics insurance become a hot topic in China’s logistics industry and academia. Existing literature has done research on the improvement of logistics service quality by logistics insurance， the optimization effect of delay insurance on crowdsourcing logistics service quality is studied.The optimization effect of delay insurance service on the quality of multi-period crowdsourcing logistics service is considered and a three-tier crowdsourcing logistics service network model is developed with service demanders， crowdsourcing platforms and service providers. The variational inequality is used to describe the equilibrium state considering the optimal behavior of each member of the crowdsourcing logistics service network. The result shows that due to the difference between the perceived quality and actual quality of the crowdsourcing logistics service by the service demanders， the delay insurance service has a significant effect on the quality of the crowdsourcing logistics service during multiple transaction periods， and the profits of the crowdsourcing platforms and the service providers first decline and then gradually increase to a stable state and are higher than the profits without delay insurance. In the initial stage of implementation of delay insurance， the quality of crowdsourcing logistics services and the profits of crowdsourcing platforms will increase with the increase in the amount of compensation and the purchase ratio. Due to the difference in the profits distribution ratio of the delay insurance service， the profits of the service providers will not increase linearly but have an inflection point， which require the crowdsourcing platforms to adjust the parameters of the delay insurance according to the actual situation. When the delay insurance parameters are adjusted again after reaching a stable state， each equilibrium decision will show a linear increase or decrease with the change in the amount of compensation and the purchase ratio， and there will no longer be an inflection point.