The invention provides an anti-seismic structure of a transformer. The anti-seismic structure comprises a first connection assembly, a first reinforcement assembly, a second connection assembly and second reinforcement assemblies, wherein the first connection assembly is used for fastening each part of a transformer sleeve, the first reinforcement assembly is arranged between two supports of a transformer oil storage cabinet and is used for reinforcing the two supports, the second connection assembly is arranged between an outgoing line lifting base of the transformer and an oil tank and is used for limiting the outgoing line lifting base from swinging, and the second reinforcement assemblies are arranged at each group of cooling fins of a transformer heat sink and are used for reinforcing each group of cooling fins. In the anti-seismic structure, the mechanical property of the sleeve is improved, the breakage frequency of the sleeve under earthquake action is reduced, the twisting vibration of the oil storage cabinet under the earthquake action is restrained, the situation that anti-seismic structure is easy to swing due to a relatively weak root part of the outgoing line base is reduced so that the breakage effect on the sleeve is improved, a pipeline of the heat sink and the second reinforcement assemblies form a more stable structure, the heat sink can be enabled not to be greatly deformed in an earthquake load, and the anti-seismic performance of transformer equipment is greatly improved.