The line surpasses their former highest-scoring triple double which included 57 points, set by Oklahoma City Thunder guard Russell Westbrook last season.
Harden is now the sole owner of the most 50-plus point triple doubles in NBA history as well, with today's effort being the third of his career.
That sees him go one ahead of Westbrook and NBA legends Wilt Chamberlain and Elgin Baylor.
The effort is just the latest in a MVP-calibre campaign for Harden. Over the halfway point of the season, he leads the league in scoring with 31 points per game, while being among the top three in assists per game with an average of nine.
To get the day's top sports stories in your inbox, sign up to our newsletter here