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Griffin's ban is without pay while the star NBA forward will also be fined an additional game's pay after he broke his hand following an altercation in Toronto on January 23.
In a joint statement on Tuesday, Clippers owner Steve Ballmer and coach Doc Rivers condemned Griffin's actions but said the team still supports him.
"We have made it clear that this conduct has no place in the Clippers organization," the statement read.
"Blake is remorseful and has apologized for his actions. He is a valued member of our Clippers family and we support him as he re-joins the team. He understands his actions have consequences, and is eager to get back to work with his teammates, the organization and Clipper Nation which starts immediately with rehab, appearances and attendance at games.
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"For our team and organization, it is time to move forward which begins today and ultimately concludes when we have Blake back on the court."
Griffin's fine, worth five game cheques, will go to charities "focused on disadvantaged youth" in Los Angeles.