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The most points ever scored in an NBA game by one person was by Wilt Chamberlin versus the Knicks. He scored 100 points. The most points scored by one team was in 1983 by the Nuggets and Pistons, scoring 186-184. The person with the most points total in NBA history is Kareem Abdul-Jabbar.

Wilt Chamberlain

 Wilt Chamberlain

By Wilt_Chamberlain2.jpg: Fred Palumbo, World Telegram staff photographerderivative work: JoeJohnson2 (talk) - Wilt_Chamberlain2.jpg, CC BY-SA 2.0, https://commons.wikimedia.org/w/index.php?curid=8337686

Kareem Abdul Jabbar

 Kareem Abdul Jabbar

Di Steve Lipofsky www.Basketballphoto.com - http://www.basketballphoto.com/NBA_Basketball_Photographs.htm, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=10541376