Knight matched a career-high with 37 points, while Bledsoe fell one assist shy of his second-ever triple-double (26 points, 10 rebounds, nine assists) at Talking Stick Resort Arena.
The Clippers were without either of their starting guards as Chris Paul (groin strain) and JJ Redick (lower back spasms) both sat out. To make matters worse, Blake Griffin was ejected in the first half after drawing a second technical foul.
LA were therefore without their three top scorers for most of the game and they struggled to keep pace with the Suns, who won for the first time in nine against their California counterparts.
Phoenix improve to 4-4, while the Clippers drop to 5-4 and have now lost four of five since starting the season 4-0.