The Golden State Warriors' star guard was joined on the first team by Cleveland Cavaliers forward LeBron James,Oklahoma City Thunder guard Russell Westbrook, San Antonio Spurs forward Kawhi Leonard and Los Angeles Clippers center DeAndre Jordan.
Curry helped Golden State to a 73-9 regular-season record, the best mark in NBA history. He led the league in scoring (30.1 points per game) while averaging 6.7 assists and a career-high 5.4 rebounds. He also made an NBA-record 402 3-pointers.
James was named to the All-NBA First Team for the 10th time in 13 seasons, which is tied for the second-most selections in league history.
The All-NBA Second Team consists of forwards Kevin Durant of the Thunder and Draymond Green of the Warriors, center DeMarcus Cousins of the Sacramento Kings and guards Chris Paul of the Clippers and Damian Lillard of the Portland Trail Blazers.
Sources told ESPN.com's Marc Stein that Lillard's selection will earn him an estimated $13 million extra over the life of the five-year contract extension he signed with Portland last summer via the "Rose Rule."
Making the All-NBA Third Team were forwards Paul George of the Indiana Pacers and LaMarcus Aldridge of the Spurs, center Andre Drummond of the Detroit Pistons and guards Klay Thompson of the Warriors and Kyle Lowry of the Toronto Raptors.
Anthony Davis missed out on an additional $24 million in his extension, via the same Rose Rule that applied to Lillard, when he was not selected to any of the three All-NBA teams Thursday.
The difference in the two cases is that Lillard's increase was based on a max extension scheduled to pay him 27.5 percent of the forthcoming salary cap for next season, which won't be officially calculated until July.
Davis' contracts stipulates that he would have received a full 30 percent of next season's cap had he met one of three criteria this season: MVP honors, All-Star starter, or selection to one of the three All-NBA teams.
Michael Smith: Why are media opinions driving NBA raises?
Michael Smith and Jemele Hill agonize over the All-NBA picks and debate the fairness of media opinions affecting players' livelihoods.