Introduced in 1956, it replaced the highly successful Austin A30. The name reflected the larger and more powerful 34 hp (25 kW) A-Series inline-four engine, enabling a slightly higher top speed and better acceleration.
The A35 was very similar in appearance to the A30, except for a larger rear window aperture and a painted front grille, with chrome horse-shoe surround, instead of the chrome grille featured on the A30. Both had 13 in (330 mm) wheels. The semaphore turn-signal indicators were replaced with present-day front- and rear-mounted flashing lights. A slightly easier to operate remote-control gear-change was provided. Much of the improved performance was a result of different gearbox ratios. The A30 had the first three ratios close together then a big gap to top (fourth gear). The A35 ratios were better spaced and gave a higher speed in third gear.
Like the A30, the A35 was offered as a two- or four-door saloon or two-door "Countryman" estate and also as a van. The latter model continued in production through to 1968. A rare coupe utility (pickup) version was also produced in 1956, with just 475 sold.
The A35 passenger cars were replaced by the new body shape A40 Farina models in 1959 but the estate car version continued until 1962 and van until 1968.
A two door de luxe saloon with the 948 cc engine was tested by the British Motor magazine in 1956 and was found to have a top speed of 71.9 mph (115.7 km/h) and could accelerate from 0-60 mph (97 km/h) in 30.1 seconds. A fuel consumption of 41.5 miles per imperial gallon (6.81 L/100 km; 34.6 mpg-US) was recorded.