Reduction-responsive degradation based on disulfide-thiol chemistry is highly desirable in the development of self-assembled block copolymer nanocarriers for multifunctional polymer-based drug delivery applications. Most conventional approaches involve the incorporation of disulfide linkages at a single location. Herein, we report a new dual disulfide located degradable polylactide (PLA)-based block copolymer (DL-ssABP) synthesized by a combination of ring opening polymerization, facile coupling reactions, and controlled radical polymerization. The amphiphilic design of the DL-ssABP enables the formation of self-assembled micelles having disulfides positioned both in the hydrophobic PLA core and at the core/corona interface. The reductive response to glutathione as a cellular trigger results in the cleavage of the disulfide linkage at the interface shedding hydrophilic coronas as well as the disulfides in the PLA core causing disintegration of PLA cores. Such dual disulfide degradation process leads to a synergistically enhanced release of encapsulated anticancer drugs in cellular environments. These results, combined with flow cytometry and confocal laser scanning microscopy (CLSM) as well as cell viability measurements, suggest that DL-ssABP offers versatility in tumor-targeting controlled/enhanced drug delivery applications.