The paper presents the new algorithm of oblique rules induction. On the basis of the initial step that consists in clustering the decision class into subclasses, for every subclass the oblique hypercuboid is generated. Sides of the hypercuboid are parallel and perpendicular to the directions defined by
. One hypercuboid corresponds to one decision rule. Results of inducting rules in the new way were compared with other oblique and non-oblique rules sets built on the artificial and real data.