Wilson made his playoff debut in Game 2 of the NL Division Series against the Atlanta Braves; he blew a save, but that was partly because of an error by Pablo Sandoval. He earned saves in Games 3 and 4 as the Giants defeated the Braves in four games. In the NL Championship Series, the Giants faced the Philadelphia Phillies. In Game 4, Wilson threw a scoreless inning and earned the win in the 6–5 victory. In Game 6, Wilson entered with one out in the eighth inning, runners on first and second, and the Giants leading 3–2. He got Carlos Ruiz to line into a double play. He then pitched the ninth inning, striking out Ryan Howard with two runners on base, clinching the series for the Giants. He joined Dennis Eckersley, Mitch Williams, and John Wetteland as the only pitchers since 1969 to win or save four games in a postseason series. (In 2014 Greg Holland of Kansas City matched this feat.)