Griffith drove in the AAA and USACChampionship Car series, racing in the 1950-1952, 1956 and 1961 seasons with 19 starts, including the Indianapolis 500 races in each of those years except 1950. He finished in the top ten 8 times, with his best finish in 4th position, in 1950 at Springfield. His best Indy finish was 9th in 1952.
Prior to joining USAC, Griffith won a pair of championships on the Midwest Dirt Track Racing Association circuit behind the wheel of Hector Honore's legendary sprint car known as the "Black Deuce".
The Indianapolis 500 was part of the FIA World Championship from 1950 through 1960. Drivers competing at Indy during those years were credited with World Championship points and participation. Cliff Griffith participated in 3 World Championship races. He started on the pole 0 times, won 0 races, set 0 fastest laps, and finished on the podium 0 times. He accumulated a total of 0 championship points.