The Basketball Hall of Famer served as a consultant for the franchise from 2017 until his passing in June at the age of 86.
The Clippers also are honoring West at Intuit Dome, their new arena, with a memorial seat behind the basket and a court decal with his initials near midcourt.
The Lakers honored West during their opener Tuesday night against the Minnesota Timberwolves with a halftime video and gave all fans an era-accurate replica of his jersey.
West’s widow, Karen, and two of his sons, Ryan and Jonnie, were at the Lakers and Clippers openers.
The Lakers — who West played his entire 14-year NBA career for and was an All-Star every year — are also wearing a band on the left shoulder of their uniforms with No. 44 in gold in the center.
West became the first three-time inductee to the Hall of Fame this month when he was inducted as a contributor, honoring his front office contributions to the Clippers, Lakers, Golden State Warriors and Memphis Grizzlies.