City and Chelsea first meet in Sunday's FA Cup semi-final at Wembley and then again at Busch Stadium, home of St Louis Cardinals, on May 23, before a second Stateside friendly at the home of the New York Yankees on May 25.
On announcing the game, Chelsea chief executive Ron Gourlay said: "The club is excited to be playing a double-header in the US this May and thrilled to be returning to Yankee Stadium.
"We were delighted to take part in the first ever football game there, and we received sensational support in what was a sea of blue fans inside and outside the stadium that day.
"Spending the week in St Louis and New York also provides a great opportunity for the club to reconnect with our US fans before we head to Asia in July for pre-season.
"America has long been an important place for Chelsea Football Club, and we have seen first-hand the continued rise of the game's popularity."