Markieff Morris scored 12 points in 16 minutes against the Nuggets during a 97-89 win on Friday, adding one rebound and two 3-pointers.
Markieff Morris started on Wednesday and had 13 points, five rebounds, one assist, two steals and two blocks on 3-of-7 shooting.
Markieff Morris scored a game-high 22 points in Saturday's team scrimmage.
Markieff Morris said that coach Jeff Hornacek told him that he will "play the five a lot when we need to speed it up."
Markieff Morris has been working on his three-point shot in the offseason and training camp.
The Suns signed the Morris brothers to contracts on Monday, and left it up to them to decide how to split up $52 million.
Markieff Morris and the Suns agreed on a four-year, $32 million extension on Monday.
Markieff and Marcus Morris are nearing contract extensions with the Suns.
Markieff Morris, and twin brother Marcus Morris, would like to continue playing together throughout their careers.
Markieff Morris has been focusing on his rebounding and 3-point shooting during voluntary workouts this summer.
Markieff Morris hit 10-of-16 shots for 21 points, two rebounds, one steal and three blocks in Monday's loss to the Grizzlies.
Markieff Morris scored 20 points with seven boards against the Spurs on Friday.
Markieff Morris led the Suns with 12 rebounds off the bench on Sunday, adding 16 points, three steals and two blocks in a disappointing loss to the Lakers.
Markieff Morris scored 16 points vs. the Knicks on Friday with eight boards, one assist, one steal, two blocks and two 3-pointers in 26 minutes.