On May 25, Familia set a franchise record by converting 32 consecutive save opportunities, breaking a tie with Billy Wagner. On June 24, Familia broke another franchise record previously held by Armando Benítez by converting 25 consecutive save opportunities to open the season. On July 5, Familia was named to the National League roster for the 2016 Major League Baseball All-Star Game at Petco Park, joining teammates Yoenis Céspedes, Bartolo Colón, Noah Syndergaard and Mets manager Terry Collins.