Recchia can expect a primary, with former Rep. Michael McMahon (D-N.Y.), also expected to launch a bid for the seat.
Grimm defeated incumbent McMahon in 2010 for New York's 13th congressional district, coming to Congress as part of the Tea Party wave that year.
New York Democrats have also sought to target Grimm over the House GOP’s delays in approving a supplemental Hurricane Sandy relief package.
Speaker John Boehner initially delayed a vote on the bill in January, but in the face of intense pressure from New York, New Jersey and Connecticut lawmakers, reversed course and scheduled a vote last month. Grimm and fellow N.Y. Rep. Peter King had even hinted they might not vote for Boehner as Speaker if he did not move quickly.
Grimm has been a vocal proponent of disaster aid for his district, which was battered when Sandy made landfall last year. But Recchia and other local Democrats argue that GOP lawmakers failed to act fast enough to secure federal aid.
Grimm also remains the subject of a federal grand jury investigation over accusations of illegal campaign contributions doing his initial bid for Congress in 2010.
The inquiry is focused on work between Grimm's campaign and influential New York Rabbi Yoshiyahu Yosef Pinto.
Pinto, according to recent reports, raised hundreds of thousands of dollars for Grimm's campaign in 2010 and later during his reelection run in 2012.
However, several donors approached by Pinto on behalf of the Grimm campaign have claimed they broke federal campaign finance rules by exceeding the legal limit of campaign donations when supporting Grimm's first run for Congress.
The Office of Congressional Ethics last July cleared Grimm of any wrongdoing during his time in office.