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.
I don't know how he does it. I don't know how he gets his body parallel with the player and pulls it through his legs like that. I know he's tried it a couple times in practice and it's never worked, so how he does it in a game, it's incredible.
— Capitals defenseman Mike Green on teammate Alex Ovechkin's highlight-reel goal against the Devils on Saturday