Martínez was signed by the Los Angeles Dodgers as an amateur free agent on September 1, 1984 and was the youngest player in the National League when he made his major league debut on August 13, 1988 against the San Francisco Giants. He allowed only one run on four hits in 7 2/3 innings in a gamethe Dodgers eventually won in 11 innings. He got his first career win on August 29 against the Montreal Expos. That season, he won his first and only World Series ring with the 1988 Los Angeles Dodgers. He had a breakout season in 1990, when he won 20 games, struck out 18 batters in a game, was selected an All-Star, and finished second in strikeouts as well as in the Cy Young Award balloting. He remained a solid pitcher for several years, winning 17 games in 1991 and 1995. On July 14 of the latter year, Martínez no-hit the Florida Marlins 7-0 at Dodger Stadium. In his no-hitter, the only thing that kept him from a perfect game was a walk to Tommy Gregg with two outs in the 8th inning. Early in the 1998 season, Martínez suffered a torn rotator cuff and torn cartilage, which was surgically repaired on June 30. The Dodgers did not pick up a $5.6 million option after 1998 and he signed with the Boston Red Sox. In 11 seasons with the Dodgers, he was 123-77 with a 3.45 ERA and 1,314 strikeouts and was the team's opening day starter five times.
Ramón started the 1999 season in the minor leagues for rehabilitation. He was called up by the Red Sox in August, to pitch again alongside brother Pedro, making four starts for a 3-1 record with an ERA of 3.05. Martinez was less successful in 2000, with a record of 10-8 and a 6.03 ERA, and his option for 2001 was not picked up by the Red Sox. After his two years with the Red Sox, he signed again with the Dodgers, but they released him at the end of spring training. He played briefly with the Pittsburgh Piratesin 2001 before retiring.
Family
Ramón has three brothers, Pedro, Nelson and Jesus. While he was a starter for the Dodgers, Ramón repeatedly asserted that Pedro was an even better pitcher than he was. Nevertheless, Dodgers management thought Pedro was too small to be successful and traded him away. Pedro went on to win three Cy Young Awards with the Expos and Red Sox, and was a first-ballot inductee to the Hall of Fame in 2015. Ramón and Pedro were eventually reunited as teammates during Ramón's two years with the Red Sox. The youngest brother, Jesus also played professional baseball in the Dodgers farm system. He was briefly called up to the Majors in September, 1996 but never got into a game.