The trade was announced after Chicago's 5-4 shootout win over Phoenix on Thursday night.
The 27-year-old Versteeg, a member of the Blackhawks' 2010 Stanley Cup championship team, has two goals and five assists in 18 games this season with Florida.
Versteeg had 20 goals and 24 assists in 79 regular-season games with the Blackhawks in 2009-10, then added six goals and eight assists in 22 playoff games during the team's run to the Stanley Cup. He had a career-high 22 goals and 53 points with Chicago in 2008-09.
It's not always going to be pretty, especially against a great goalie [Lundqvist] like that. My goals are never how you draw them up. It's just a matter of grinding it out and trying to create havoc in front and good things happen.
— Capitals forward Jay Beagle on scoring in their Game 3 victory against the Rangers on Monday