The invention discloses a thermo-sensitive polymer as well as a synthetic method and application thereof. A structure of the thermo-sensitive polymer is as shown in formula I. The synthetic method comprises the following steps: adding an initiator, a monomer and a ligand into a solvent, deoxygenating, adding cuprous bromide, reacting for 0.5 to 5 hours, washing product precipitates for a pluralityof times, drying, and obtaining a copolymer; dissolving the copolymer in a N,N-dimethyl formamide solution; and adding imidazole, reacting for 24 to 48 hours, precipitating a product, washing for a plurality of times, drying, and obtaining the thermo-sensitive polymer. The thermo-sensitive polymer can have different thermo-sensitive characteristics by adjusting the composition of the copolymer; and by adjusting the polymer composition in a wider range, the turbidity point temperature of LCST or UCST can be changed, and the thermo-sensitive polymer can be applied to various fields such as biochemistry, medicine or food of drug controlled release, catalyst step-by-step release, cell embedding and the like.