The incident took place with 2:06 remaining in the third quarter of Phoenix's 123-114 victory at New Orleans on Saturday.
Alvarado committed a defensive foul on Williams as he set a pick. Williams shoved Alvarado in the back and the smaller Pelicans standout grabbed Williams, spun him around and swung punches at him as teammates on both sides tried to break up the fight.
Both players were issued technical fouls and ejected from the game.
Alvarado will serve his suspension on Monday when the Pelicans play host to the New York Knicks and on Wednesday when New Orleans will visit Chicago.
Williams will serve his suspension on Monday when the Suns visit the Washington Wizards.
The Pelicans are 8-25, last in the Western Conference, while the Suns are 18-13, seventh in the West.
© 2025 AFP