The invention relates to a heterogeneous method for oligomerising alkenes in order to produce hydricarbons within a diesel fraction in the present of a catalyst based on the ITQ-39 zeolite. The oligomerisation method described in the present invention includes at least: a. feeding a catalyst containing at least the ITQ-39 zeolitic material into the reactor; b. supplying the reactor with a stream that includes at least one olefinic compound; and c. enabling the catalyst containing at least the ITQ-39 material and the organic compound to remain in contact during the time required for the reaction to take place.