The amphiphilic di- and tri-block copolymer is widely used to solve many seemingly intractable problems in our lives. They have the potential to help curing the cancel and some of them already in clinical application. Besides, it can work as a stabilizer of dispersions to disperse insoluble substance in certain solvents to make the substance work better. After decades of scientists’ exploring, the living polymerization have been frequently used in living polymerization. In addition, the simple and efficient methods laying the foundation of the various application of amphiphilic di/tri-block copolymer. In this research, the living radical polymerization, such as reversible deactivation radical polymerization (RDRP) and ring-opening metathesis polymerization (ROMP), are mentioned. And the living anionic polymerization is the main approach synthesize a diverse of different block copolymers, where the reaction mechanism is further discussed in this research. After analyzing the properties of amphiphilic di- and tri-block copolymer to find why it can be used for drug delivery and as a stabilizer of dispersions, some applications for amphiphilic di- and tri-block copolymers will be introduced. With such advanced synthesis methods, however, the application of amphiphilic block copolymer is mainly in drug delivery. As a result, there might be some potential applications for amphiphilic di- and tri-block copolymer.