The present invention relates to a construction machine, in particular a ground milling machine, comprising transportation means connected to the machine frame via lifting columns. The lift adjustment of the lifting columns occurs as a function of the determined weight force values respectively applied to at least one actuator of a pair of front and/or rear and/or right and/or left transportation means. The present invention further relates to a method of optimum and practical weight distribution of the machine weight to the transportation devices for such a construction machine.