The couple first got together in 2012 and were married two years later after the arrival of their daughter.
The announcement follows months of speculation, as Ms Johansson has frequently been pictured without her wedding ring on. Then, last summer, it was reported that they had separated.
This will be the second divorce for the star, who was also previously married to actor Ryan Reynolds. They tied the knot in 2008, separated in 2010 and divorced a year later.