Curcumin, a primary active element of turmeric, has potent antioxidant and anti-inflammatory activity, but its low bioavailability is a major hurdle in its pharmaceutical applications. To enhance the therapeutic efficacy of curcumin, we exploited polymeric prodrug strategy. Here, we report rationally designed acid-activatable curcumin polymer (ACP), as a therapeutic prodrug of curcumin, in which curcumin was covalently incorporated in the backbone of amphiphilic polymer. ACP could self-assemble to form micelles that rapidly release curcumin under the acidic condition. The potential of ACP micelles as therapeutics for osteoarthritis was evaluated using a mouse model of monoidoacetic acid (MIA)-induced knee osteoarthritis. ACP micelles drastically protected the articular structures from arthritis through the suppression of tumor necrosis factor-alpha (TNF-α) and interleukin 1β (IL-1β). Given their pathological stimulus-responsiveness and potent antioxidant and anti-inflammatory activities, ACP micelles hold remarkable potential as a therapeutic agent for not only osteoarthritis but also various inflammatory diseases.