Griffith entered the New South Wales parliament at the 1956 election as the Liberal member for Sutherland. He defeated the sitting Labor member, Tom Dalton, who won the seat in a surprise result at the previous election.[2] The Liberal Party's hold on Sutherland was adversely affected by a redistribution at the 1959 election and Griffith successfully contested the new and safer seat of Cronulla.He retained the seat until he lost the Liberal Party's endorsement before the 1978 election and retired from public life.[3]
Griffith was promoted to the position of Chief Secretary and Minister for Tourism, under Sir Robert Askin, between 1972 and 1975. He was demoted to the backbench when Askin retired and was succeeded as Premier by Tom Lewis but was appointed as the Minister for Housing in the short lived government of Eric Willis between January and May 1976.[1]