The invention discloses a pretension anti-buckling sleeve heat compensator and application thereof. The device comprises an outer sleeve, an outer sleeve pressing pipe, an inner pipe, a pressing bolt, a rolling bearing, a sealing rubber layer and the like. The device is provided with an axial limiting structure in the pipe to guarantee one-way movement of the inner pipe corresponding to the outer pipe; compared with a traditional sleeve compensator, the device reduces the damage risk of the pipes and sealing materials due to reciprocating motions caused by the temperature-pressure circulating effect; and meanwhile, the axial limiting structure enables the pretension generated by the pipes to counteract one part of pressure stress generated by the temperature-pressure combined effect to prevent overall buckling of the pipes, so that the buckling protection effect by the pretension due to embedding of pre-buckling pipes in the prior art is achieved, the problem of difficult embedding in deep sea in traditional pretension application is solved, meanwhile, the construction cost is saved, and the pipe working safety is guaranteed.