The Argentine’s effort topped the poll ahead of Philippe Coutinho’s strike against Southampton in the final round of voting on the Premier League’s official Twitter page.
To get to the final, Di Maria’s goal won the vote ahead of Jermain Defoe’s strike against Newcastle United and Charlie Adam’s effort inside his own half against Chelsea.
GOAL CUP And the 2014/15 Goal Cup winner is... pic.twitter.com/CUQ3G6yGOQ— Premier League (@premierleague) June 5, 2015
Di Maria struggled in his debut season at United after joining from Real Madrid for a British record fee of £59.7 million last summer but has insisted that he intends to stay at Old Trafford this summer.
"I have just finished my first season playing for Manchester United," he told The Sun.
"It was a hard season for me. I think it was hard because it was another country and another league, and this league is harder than the Spanish one. So, I couldn't adapt myself as I wanted to.
"Now I will play the Copa America and then I will move back to Manchester for next season and do my best there."
Di Maria is currently training with the Argentina national side ahead of the Copa America this summer.