On July 6, Wright was named the starting third baseman for the National League team in the 2013 MLB All-Star Game. In the 2013 MLB All-Star Game, Wright went 1-for-3. Wright also became the fourth Mets player to appear in at least 7 All-Star games.
On August 3, 2013, Wright was placed on the 15-day disabled list a day after he strained his right hamstring. Upon his return from the disabled list, Wright hit two home runs in his first two games, surpassing Mike Piazza for the second most home runs hit by a player in a Mets uniform, behind Darryl Strawberry. Wright played in 112 games in 2013, batting .307 with 18 home runs, 58 RBIs and 17 steals.
He was again selected to play third base in the 2013 World Baseball Classic. In the 2013 WBC, Wright hit a grand slam in the United States's game against Italy. It was the second time a United States player hit a grand slam in WBC play. In the second round opener against Puerto Rico, Wright had 5 RBIs. Wright ended the tournament with the most total RBIs of any player and earned the nickname "Captain America". Wright sat out during the US loss to the Dominican Republic in the following game, citing soreness. He was later diagnosed with sore ribs and sent back to New York for further examination, ending his participation for the rest of the 2013 tournament. The US team went on to lose to Puerto Rico 4-3, resulting in an elimination. Wright was selected as the third baseman for the All-WBC team, the only American player to earn the honor.
After dating model Molly Beers for several years, Wright announced in January 2013 that he and Beers were engaged to be married during the holidays. The couple were married in La Jolla, California, on December 26, 2013. They have two daughters, Olivia Shea (b. July 2016) and Madison (b. May 2018), and a son, Brooks David (b. October 2020).