The Argentina international has penned a four-year contract with the Ligue 1 champions, just 12 months after arriving at Old Trafford from Real Madrid.
United paid Los Blancos a British-record £59.7 million for Di Maria but, despite making a flying start to his Old Trafford career, the winger fell out of favour with manager Louis van Gaal over the course of the 2014-15 campaign.
After being given an extended summer break following his exertions at this summer’s Copa America in Chile, Di Maria ultimately failed to join up with United on their pre-season tour of the United States.
The 27-year-old subsequently travelled to Qatar to undergo a medical with PSG on Tuesday and has now sealed his €60 million switch to the Parc des Princes.
“I am very proud, and can’t wait to wear the colours of Paris Saint-Germain,” Di Maria told his new club’s official website on Thursday.
“I want to win every competition we enter, both in France and Europe. I want to win the Champions League, which is a dream for all footballers, for a second time.
“We will do everything we can to bring Europe’s biggest trophy to France and the fans of Paris Saint-Germain.”
Meanwhile, PSG president Nasser Al-Khelaifi was understandably delighted at having finally acquired a player that the capital club courted last summer.
“We are very proud that Angel Di Maria has chosen Paris Saint-Germain,” he added. “He is an incredibly talented player, with frightening speed and ability to beat opposition players.
“He adds his name to the club’s strong South American community and, above all, the big Paris Saint-Germain family.
“By signing Angel Di Maria, Paris Saint-Germain is once again showing the club’s constant ambition to reach the summits of the European game.”