14 wins & 19 nominations
- 1994 Winner Grammy
- Best Country Instrumental Performance
for "Red Wing"Shared with: Lucky Oceans · Marty Stuart · Vince Gill · Chet Atkins · Eldon Shamblin · Asleep at the Wheel · Ray Benson - 1994 Nominee Grammy
- Best Country Instrumental Performance
For "Fiddlin' Around"Shared with: Mark O'Connor - 1989 Nominee Grammy
- Best Country Instrumental Performance (orchestra, group or soloist)
For "Still Fiddlin' Around"
- 2018 Winner Country Music Hall of Fame Induction
- Hall Of Fame
- 2000 Nominee Studio Recording Award
- Top Fiddle Player of the Year
- 1992 Nominee Studio Recording Award
- Top Fiddle Player of the Year
- 1989 Nominee Studio Recording Award
- Top Fiddle Player of the Year
- 1988 Winner Studio Recording Award
- Top Fiddle Player of the Year
- 1986 Winner Studio Recording Award
- Fiddle Player of the Year
- 1994 Nominee CMA Award
- Album of the Year
For "Asleep at the Wheel Tribute to the Music of Bob Wills & the Texas Playboys"Shared with: Merle Haggard · Lyle Lovett · Lucky Oceans · Chet Atkins · Asleep at the Wheel · Suzy Bogguss · Brooks & Dunn · Garth Brooks · Vince Gill · Herb Remington · Riders in the Sky · Johnny Rodriguez · Eldon Shamblin · George Strait · Marty Stuart · Leon Rausch · Huey Lewis · Willie Nelson · Jody Nix · Dolly Parton - 1990 Winner CMA Award
- Musician of the Year
- 1989 Winner CMA Award
- Musician of the Year
- 1988 Nominee CMA Award
- Musician of the Year
- 1987 Winner CMA Award
- Instrumentalist of the Year
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