The Triumph Vitesse was introduced on 25 May 1962, reusing almost all body panels from the Herald, combined with a new front end with a slanted 4-headlamp design and available a convertible or saloon. Front disc brakes were standard as were larger rear brake drums, the Herald fuel tank was enlarged and the chassis was re-designed and strengthened. The interior was much improved over the Herald; better seats and door trims and wooden door cappings.

Visually similar to the 2,138 cc TR4 the TR5 roadster sported Triumph's much more powerful 2.5-litre straight-6, fitted with Lucas mechanical fuel-injection and producing 150 bhp (110 kW).and went from 0–50 mph (80 km/h) in 6.5 seconds, with a top speed of 125 mph. The TR5 was available with the "Surrey Top" hard top, a weather protection system with a rigid rear section including the rear window and removable fabric section over the driver and passenger's heads. 

The more powerful TR3 Roadster evolved from the TR2 model. Updated variants, popularly but unofficially known as the "TR3A" and "TR3B", entered production in 1957 and 1962 respectively and sold 74,800 cars before being succeeded by the Michelotti-styled, mechanically similar Triumph TR4. It has a convertible hood and removable plexiglass side curtains. A hardtop car with overdrive tested in 1956 had a top speed of 105.3 mph and could accelerate from 0–60 mph in 10.8 seconds. 

Originally designed for the Ferguson TE20 tractor, but used as a standard for many cars in the 50's the 4 cylinder was the same engine type used in both the TR2 and 3, but with an increased bore size, displacement rose from 1991cc to 2138cc. The TR4 had a wet sleeve engine so that for competition use the engine's cubic capacity could be changed by swapping the cylinder liners and pistons, allowing racing under different capacity rules (i.e. below or above 2 litres for example).

The Triumph 2000 and relatives benefit from sharing many components with the TR6, GT6 and the Vitesse helping to keep them on the road today. With a production run of 4 door saloon and a 5 door estate, the straight-six engine transmission options were either a 4-speed manual or with overdrive or a 3 speed automatic. The 2.5PI and 2500 models became available in 1968

The 3.0 Litre V8 Triumph Stag was launched in 1970 with a production output of just under 26, 000

Electric windows, power steering and power-assisted brakes were standard.

The front-engine, rear-wheel drive, car became noted for engine failures most notably from overheating.