The deal, to replace the current partnership with Aon is the latest groundbreaking move at Old Trafford, after DHL became the club's first ever training kit sponsor last summer
Chevrolet is the current Official Car Partner of the Red Devils, and will become only the fifth shirt sponsor in the club’s 134 year history, at the beginning of the 2014-15 season.
The deal has been signed for an "undisclosed amount", and has been greeted with praise by those involved.
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"This is a fantastic, long-term deal for the club. We have been partners with Chevrolet for only six weeks, but already they have produced some fantastic ideas that will benefit both the partnership and our 659 million followers around the world," said Richard Arnold, United's commercial director.
"They are a key partner on our current tour and I know they have enjoyed experiencing the buzz generated by our fanatical support and the sell-out crowds in South Africa, China, and Europe.
"It is a great thrill for those of us who work with partners all year round when an existing partner steps up to being one of our principal partners. This commitment to United and its fans will bring real benefits to everyone who cares about the club."
The deal represents a significant move into the American market for the club, after DHL became the first ever training kit sponsor of the Old Trafford side.
"Manchester United's statistics are impressive, but this relationship goes far beyond the numbers – this relationship is about connecting our brand with the deep-seated emotion that surrounds the team everywhere.
"When you consider the core values of Chevrolet, our passionate customers around the world, and our rich 100 year history, the partnership with Manchester United is a perfect fit.
"And, to be only the fifth name on the iconic red jersey is a genuine honour. We very much look forward to the road ahead and the opportunities we have in partnering with such a legendary club."