Rob McConnell & The Boss Brass Awards

2001 
Juno Award for Best Traditional Jazz Album, Rob McConnell Tentet 

1995 
Grammy Award for Best Instrumental Arrangement Accompanying Vocalist(s) for "I Get a Kick Out of You" performed by Mel Tormé with Rob McConnell & The Boss Brass 

1992 
Grammy Award for Best Instrumental Arrangement for "Strike Up the Band" performed by Rob McConnell & The Boss Brass 
Juno Award for Best Jazz Album, The Brass Is Back 

1984 
Juno Award for Best Jazz Album, All In Good Time 

1983 
Grammy Award for Best Large Jazz Ensemble Album for All in Good Time 

1981 
Juno Award for Best Jazz Album, Present Perfect 

1978 
Juno Award for Best Jazz Album, Big Band Jazz