The Mets claimed Criswell off waivers from the Red Sox on Friday, Jorge Castillo of ESPN.com reports.
Criswell had been designated for assignment following Boston's five-player trade with Pittsburgh on Thursday. The 29-year-old has been a useful swingman for the Red Sox the last two seasons, holding a 4.00 ERA and 82:36 K:BB over 117 innings covering 19 starts and 14 relief appearances. Criswell does not have minor-league options remaining but is not yet arbitration-eligible, so the Mets will have several years of control of the righty.