The invention relates to a preparation method for nano-composite multi-response hydrogel. Added oxidized graphene has the similar lamellar structure as laponite, and meanwhile the surface of the oxidized graphene has the abundant hydroxyl and carboxyl functional groups, so that an esterification reaction can take place between the oxidized graphene and RAFT with carboxyl; precise polymers are grafted on the surface of the oxidized graphene through RAFT polymerization; the oxidized graphene serves as the crosslinking point, therefore, the strength and mechanical property of the hydrogel can be improved, and meanwhile the defect that ionic monomers cannot be used in a laponite system can be overcome; through RAFT polymerization, homopolymers or segmented copolymers are adopted as the polymers grafted on the oxidized graphene, the molecular weight of the polymers is controllable, the molecular weight distribution index is narrower (PDI=1.10-1.38), and the mole grafting rate is higher. The method is simple, and the raw material selection range is wide.