The reactive voltage control of AC/DC hybrid distribution network is the key problem to be solved to ensure its efficient and reliable operation. For this reason, a distributed reactive power and voltage interactive control strategy based on limited time control is proposed, which realizes the interactive reactive power and voltage support between AC subnet and DC subnet under the framework of no centralized controller. This method constructs a distributed decentralized cooperative control architecture. Achieve distributed consistency cooperation between multiple inverters with limited time control. At the same time, it can ensure the accurate division of reactive power increment, avoid the reactive power circulation problem between multiple drooping control inverters, and further improve the voltage quality. Compared with the traditional consistency strategy, the proposed strategy has faster convergence speed, and can adapt to various disturbances in system. In order to verify the cooperative interactive control effect of the control strategy, a simulation model of AC/DC hybrid distribution network is established in PSCAD/EMTDC. The effectiveness and adaptability of distributed interactive support and reactive power sharing strategy between AC subnet and DC subnet are verified under various operating conditions.