Earlier today, Green was named to the All-Defensive First Team for a third consecutive season, becoming the first player in Warriors history to earn First Team honors three times.
Gobert received the second highest number of first-place votes, just behind the Golden State Warriors' Draymond Green, who received 99 first-place votes.
Thompson's teammate Draymond Green was the only unanimous first-team selection and is up for the NBA's Defensive Player of the Year award which will be determined this evening. Gobert, Green and Leonard are the three finalists for the award.
Los Angeles Clippers guard Chris Paul and Houston Rockets guard Patrick Beverley were also selected to the honor squad by a 100-member global media panel.
The Oklahoma City All-Star joined Oscar Robertson as the only players to average a triple-double for an entire season, leading the Thunder into the playoffs after Kevin Durant left for Golden State.
Utah's Rudy Gobert and San Antonio's Kawhi Leonard were also named as finalists for the Defensive Player of the Year Award.
The Rockets had a chance for a big night on Monday at the first NBA Awards show, with James Harden a finalist for MVP and Mike D'Antoni a finalist for Coach of the Year.
Green, who helped the Warriors take their second National Basketball Association crown in three seasons, was a near unanimous pick with 99 first-team votes. The victor will be announced Monday, June 26, at the inaugural NBA Awards show.
In the good, old days, all the major awards were doled out piecemeal during the playoffs, but the new plan is to do everything at once in an awards show that runs a month-and-a-half after the end of the regular season. Gobert was named on 97 first-team ballots and Leonard on 93. New Orleans All-Star Anthony Davis was the center and Milwaukee's Giannis Antetokounmpo and Oklahoma City's Andre Roberson the forwards.