In , Davis became the Padres' closer, earning 28 saves and 44 in , appearing in the All-Star Game in both seasons. He was a Cy Young Award winner in 1989 after a 1.85 ERA and 65 games finished in addition to his league-leading save total. In the last month of the season, he pitched 25 innings and did not allow any of the 19 runners he inherited to score. He was the fourth closer so honored in Award history. No closer would win the NL Cy Young again until Éric Gagné in .