Cubans currently have to go through a lengthy and expensive process to obtain a permit and dissidents are often denied one, correspondents say.
The move is the latest in a series of reforms under President Raul Castro.
Cubans who have permanent residency on the island will also be allowed to stay abroad for up to 24 months, instead of the current 11, without having to return to renew paperwork.
The BBC's Sarah Rainsford, in Havana, says the exit permit process is hated by most Cubans so this reform, which was much anticipated, will be widely welcomed.
This report continues at this link on BBC website