Abstract: A brushless motor for driving a cylinder-spindle of a hosiery machine comses a rotor assembly and a stator. The rotor assembly is positioned directly on the outer cylindrical surface of the cylinder-spindle. The rotor assembly comprises at least one permanent magnet and a plurality of ferromagnetic polar expansions alternately coupled with the permanent magnets. A stator of the brushless motor, housed in a flanged tubular casing, is inserted directly over the rotor assembly. The brushless motor eliminates the customary belt transmission and bulkiness of a typical motor used in a hosiery machine, reducing the maintenance cost and space requirement under the bench of the hosiery machine.