The Silver Cloud III arrived in 1963. External dimensions were slightly tweaked, the interior remodelled, the weight reduced by a little over 100 kg (220 lb) and improvements made to the engine which included fitting 2 inch SU carburettors in place of the 1¾ inch units used on the Series II Silver Cloud. Increased power and weight reduction boosted speed and performance slightly.
The headlights were grouped in a four-headlamp layout subsequently continued in the later Silver Shadow. Between 1963 and 1966 there were no major changes. Stainless steel wheels replaced chrome-plated ones in April 1963, and an improved rear window demister was introduced in November of the same year. Wider front seats were fitted in January 1964, and five months later a revised headlamp surround now incorporated a very small RR monogram.