In 1949, the middle-class petrol-powered Volvo T 31 was introduced, followed a year later by the petrol-powered T 32. Alongside these came the corresponding T 33 and T 34 models, which featured narrower but taller rear wheels and an adjustable front axle track width. Between 1954 and 1957, a small number of the same models were also produced under the BM brand.

The engine was a 4-cylinder 3.5-liter. There were 5+1 gears, and the road speed was nearly 30 km/h. The 12-inch clutch was generously sized relative to the engine power. The rear axle was of the portal type, which allowed for good ground clearance. The hydraulic lift was initially an optional accessory. There was no weight transfer system, and the power take-off (PTO) stopped when the clutch was used. There was no differential lock.

In 1952, BM introduced its first diesel tractors, the BM 35 and 36. These were based on the T 31-34 models, but the engine was a new 3-cylinder Bolinders direct injection diesel. The electrical system was 12 volts. For the year 1954, the corresponding models were also added to the Volvo lineup, painted red. The Volvo brand was mainly significant in export markets; of the 12,700 tractors produced, over 10,000 were BMs.

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