Tasnady's debut came in 1957, when he competed at Daytona Beach Road Course. Starting 40th in the field of fifty-seven, Tasnady struggled mightily in the race and had a disappointing 52nd place finish.
Luckily, things were better for Tasnady when he returned to the sport in 1960, competing at Wilson. Starting 14th in the field nineteen, Tasnady kept his nose clean and drove to a career-best 12th place finish.
Tasnady again had a multi-year haitus, competing in his final race in the 1967 season. Starting 34th at Trenton, Tasnady had a very early engine issue and finished a mediocre 24th (of thirty-six).