Hybrid distribution networks manage not only the traditional voltage/var controllers such as on-load tap changers and capacitor banks but also the independent entities such as grid-tied microgrids. Voltage/Var control (VVC) is challenging in this evolved system due to the difficulty of motivating the participation of various entities with conflicting interests. This paper proposes a multiobjective voltage/var optimisation model seeking tradeoff solutions to drive all the entities to maximise their VVC contributions. In the multiobjective VVC model, the contributions of different entities are identified by a fair resource allocation based approach. Moreover, the operational model of grid-tied hybrid AC/DC microgrid is integrated into the VVC to extend the application scenario to the future hybrid distribution network. The proposed VVC fairly identifies the contributions and adequately captures the tradeoffs among various independent entities, so their participation in VVC can be encouraged. The proposed multiobjective voltage/var optimisation model is solved by a genetic based solver called multiobjective evolutionary algorithm based on decomposition. The proposed VVC is tested on a modified IEEE 33 nodes system to demonstrate its effectiveness and advantages.