 Because each of the three councillors in every ward stood down for re-election in rotation, the winners of the Rhiwbina/Whitchurch polls would sit for three years before standing down, the second placed candidates would sit for two years and the third-placed candidates would need to stand for re-election in 12 months time.Twenty-three seats in 19 electoral wards were up for election in May 1967.In a "landslide election" the Conservative Party gained their biggest ever majority on the council, taking 4 seats off the Labour Party, one of the Liberals and winning all six new seats in Rhiwbina and Whitchurch.