Lazier began his career in the 1980s by competing in such series as the IMSA GT Championship, the SCCA Canadian-American Challenge Cup and the American Indycar Series. Lazier won the American Indycar Series championship in 1988. Lazier started his IndyCar career in 1989 by competing in the Indy Car World Series. During the season, Lazier failed to qualify for the Indianapolis 500. Lazier eventually qualified for the Indianapolis 500 in 1991. During his Champ Car career, Lazier often drove for teams that used older chassis and engines; his best finish in the Champ Car standings was a 19th-place finish in 1992.