James Harden’s Clippers buzzer beater missed over the hoop, but Durant’s goal inside the last 30 seconds of regulation time tied the score at 103-103.
With one minute and twenty seconds remaining in overtime, Beal made two free throws to put the Suns, who were playing a competitive game in their Intuit Dome stadium for the first time, up 114-110.
Jusuf Nurkic converted two free throws at the other end after Harden missed the second of two free throws with five seconds left, giving him the opportunity to tie the game.
Ivica Zubac, a teammate, scored 21 points, while Harden finished with 29 points and 12 rebounds.
The Clippers visit the Denver Nuggets on Saturday, while the Suns stay in California to play the Los Angeles Lakers on Friday.
The Golden State Warriors easily defeated the Portland Trail Blazers 139-104 thanks to 17 points from Stephen Curry.
The Milwaukee Bucks defeated the Philadelphia 76ers 124-109, while the Orlando Magic defeated the Miami Heat 116-97.
