ε-caprolactone(ε-CL), polyethylene glycol methyl ether methacrylate (PEGMA), and 4-cyano-4-(dodecylsulfanylthiocarbonyl)sulfanylpentanoic acid (CDPA) were respectively considered to be hydrophobic chain segment, hydrophilic chain segment, and initiator in the polymerization reaction. A bi-block polymer PEGMA-b-PCL was prepared by reversible addition-fragmentation chain transfer(RAFT)polymerization and the polymer were self-assembled into polymeric micelle as nanocarriers. The results showed that the relative molecular weight of the polymer was in the range of 478-7318, and the size distribution of the micelles was 68.34-186.30 nm. The polymeric micelle critical micelle concentration (CMC) (pH=7.4, 0.920 μg/mL~1.600 μg/m L) is lower. When n (CDPA): n(ε-CL) = 1: 200, the drug loading capacity and encapsulation efficiency of drug curcumin(Cur)loaded micelles are the as high as 12.05% and 75.26%, respectively. Under different conditions, the drug sustained release behaviour can be carried?out within 15 days, and the cumulative release amount of the drug can reach as high as 35.38% in the aqueous solution (pH=5.0).