He starred in the 1986 postseason, when he set a major league record with 24 hits in 14 postseason games, and was named the ALCS Most Valuable Player. In the 1986 World Series Barrett had 13 hits in 30 at bats (.433 BA), and posted an on-base percentage of .514 against the New York Mets. Near the conclusion of Game Six, he had been selected by the NBC Television broadcast team as the Player of the Game. He was the final batter in the series, striking out against Mets closer, Jesse Orosco.