This so-called "slab-side" design ran from 1961 to 1969 with few changes from year to year. Lincoln dealers began to find that many people who bought 1961 and post-1961 models were keeping their cars longer. In 1962, a simpler front grille design with floating rectangles and a thin center bar was adopted. Sales climbed over 20% in 1962, to 31,061.

Due to customer requests, for 1963 the front seat was redesigned to improve rear-seat legroom; the rear deck lid was also raised to provide more trunk space. The floating rectangles in the previous year's grille became a simple matrix of squares. The car's electrical system was updated this model year when Ford replaced the generator with an alternator. For 1963, another 31,233 were sold.

The wheelbase was stretched 3 in (76 mm) in 1964 to improve the ride and add rear-seat legroom, while the roofline was squared off at the same time. The dash was also redesigned, doing away with the pod concept. Flat window glass was for additional interior space. The gas tank access door, which had been concealed at the rear of the car in the rear grille, was now placed on the driver's side rear quarter panel. The exterior "Continental" script was changed and the rear grille replaced by a simple horizontally elongated Continental star on the rear deck lid. 36,297 were sold that year.

The convex 1962–1964 grille was replaced by a flatter, squared-off one for 1965. The car was given front disc brakes to improve stopping distances. For the first time, parking lamps and front turn signals were integrated into the front quarter panels instead of the bumper. Taillights were fitted with a ribbed chrome grille on each side. With the facelift, sales improved about 10%, to 40,180 units. An oil pressure gauge was added.

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