Sergio Guerrero, who is not related to the musician, said funeral arrangements were still pending Sunday.
The Austin (Texas) American-Statesman said Tony Guerrero suffered a heart attack Jan. 10 and contracted pneumonia after being in a coma for a week.
Guerrero began playing the trumpet as a child and formed Tortilla Flats in 1968. The group produced a sound that was a unique blend of jazz, Latin music and rock.
Tortilla Flats recorded 20 albums, two of which were nominated for Grammys. The band last performed at a 2006 benefit 23 years after breaking up.