Fans wishing to attend the shows at the Brixton Academy and Madison Square Garden must register on the band's official website to have a chance of winning tickets.
The concerts take place on June 16 and June 23. Winners will be announced on June 5. One fan will be given an all-expenses paid trip to the New York show from anywhere in the world.
Coldplay's new single 'Violet Hill' was downloaded by over 600,000 fans after just 48 hours.
The group's fourth album Viva La Vida is released in June.