High Quality Content by WIKIPEDIA articles! The 1964 NBA Finals was the championship series of the 1963-64 National Basketball Association season, and was the conclusion of the 1964 NBA Playoffs. The best-of-seven series was played between the Western Conference champion San Francisco Warriors and the Eastern Conference champion Boston Celtics. This was the Celtics` 8th straight trip to the championship series, and they won the series over the Warriors, 4-1.