Both players averaged more than 20 minutes per game when they were in the lineup last season.
House spent a portion of last season in the G League with the Rio Grande Valley Vipers, averaging 20.7 points in 18 games. When he got a chance at the NBA level, he made it count by averaging 9.4 points and 3.6 rebounds.
He averaged 11.2 points and slashed 49.5/48.3/91.7 during his 13 starts last year.
Perhaps most importantly, the 26-year-old knocked down 41.6 percent of his 178 three-point attempts last season. He fits perfectly in the Rockets system and should remain a key part of the team's future.
Green is more proven at this level and remained a key reserve in 2018-19 while appearing in 73 games off the bench. Over two seasons with Houston, he has averaged 10.2 points.
These two players will likely continue to get plenty of minutes on the wing in 2019-20 and will try to help the Rockets remain a contender in the Western Conference.
Houston has reportedly been willing to trade Clint Capela and Eric Gordon in pursuit of Jimmy Butler, per Adrian Wojnarowski of ESPN, but the latest signings will ensure quality depth regardless of other moves.