Green broke the record previously set by the Boston Celtics' Ray Allen. Allen set the record in 2008 making 22 three-point shots against the Lakers in seven games, according to CBS Sports.
He may have broken a Finals record, but Green said in an interview this weekend: "I'm not worried about catching any records. I'm worried about helping my team and playing well and helping us win a game."
Is NBA Finals MVP in his future?
The Spurs defeated the Miami Heat 114-104 Sunday, taking a 3-2 lead in the series.
Celebrity Families of 2014 [PHOTOS]