In the season opener against the Buffalo Bills, Gostkowski was a perfect 3–3, including the 35-yard game winning attempt. In week 12 against Peyton Manning and the high-scoring Denver Broncos, Gostkowski made both his field goal attempts, including the game winning 31-yard field goal with 1:56 remaining in overtime. Gostkowski set a franchise record for the New England Patriots for most field goals in a season with 38 field goals made out of 41 attempts. During the AFC Divisional game against the Indianapolis Colts on January 11, 2014, Gostkowski took over the role of punter for the Patriots after regular punter Ryan Allen was injured during the second quarter, averaging 41.8 yards per punt. On January 20, 2014, he was named to his second Pro Bowl, replacing Denver Broncos kicker Matt Prater, who was playing in Super Bowl XLVIII.