In the 1980 season, he hit .300 (a career first), having 116 RBIs, 32 home runs, 36 doubles, and 179 hits in 158 games. He finished 6th in the MVP balloting that year. While only playing in 99 games during the player's strike Murray hit .294 along with 78 RBIs, 22 home runs, 21 doubles and 111 hits while being named to the 1981 Major League Baseball All-Star Game and finishing 5th in the MVP balloting. He returned to full form the following year, hitting for .316 along with 110 RBIs, 32 home runs, 30 doubles, and 174 hits in 151 games. He was named to the 1982 Major League Baseball All-Star Game along with being awarded his first ever Gold Glove Award and finishing 2nd in the MVP balloting. His 1983 season was not much different, as he hit .306/.393/.538 along with 111 RBIs, 33 home runs (a career high), 30 doubles, and 178 hits in 156 games. He was named to the 1983 Major League Baseball All-Star Game along with winning a second consecutive Golden Glove and his first Silver Slugger Award. Though a spectacular season, he finished second in the MVP voting. In the 1983 American League Championship Series against the Chicago White Sox, he hit 4-for-15 for a .267 batting average, hitting one home run and three RBIs as the Orioles advanced in four games to go to the 1983 World Series. In that series, he hit 5-for-20 for a .250 average while also hitting two home runs and three RBIs as the Orioles beat the Philadelphia Phillies in five games. This was his only world championship along with his last postseason appearance for 12 years. In the 1984 season, he played in all 162 games (a career high), while hitting for .306 and having 110 RBIs, 29 home runs, 26 doubles, and 180 hits. He also was walked a career high 107 times. He was named to a fourth straight All-Star Game, while being awarded a third straight Gold Glove and second straight Silver Slugger Award and finishing 4th in the MVP balloting. The following year, he hit for .297 while having 124 RBIs, 31 home runs, 37 doubles (a career best) and 173 hits in 156 games. He was named to his fifth straight All-Star Game while finishing 5th in the MVP balloting. The 1986 season (his tenth with the Orioles) was a slight regression, though he hit .305 with 84 RBIs, 17 home runs, 25 doubles and 151 hits in 137 games. He was named to the All-Star Game once again.. This was his last selection until 1991. The following year, he hit for .277 while having 91 RBIs, 30 home runs, 28 doubles, and 171 hits in 160 games. This was the first season in which he had more strikeouts than walks (78 to 75) since 1983 (a 90:86 ratio). In the 1988 season, he hit for .284 while having 84 RBIs, 27 doubles and 171 hits in 161 games. The season proved to be his last with the Orioles, however. His contract (in which he would earn $8 million for the each of the final three years of his contract making him the highest paid player in baseball at the time) made the team want to trade him, Along with some cash, he was traded to the Los Angeles Dodgers for Juan Bell, Brian Holton, and Ken Howell on December 4, 1988.