A method of producing cartons of cigarettes, whereby groups of packets of cigarettes are formed wherein the packets are arranged in at least two side by side stacks, and wherein each packet in each stack is laid flat with its longer axis horizontal and aligned with the longer axis of a corresponding packet in the other stack; and each group is fed, crosswise to the longer axes of the packets and together with a flat blank from which to form a rigid hinged-lid wrapping, into a folding spindle, the bottom wall of which supports the group with the interposition of a panel of the blank corresponding to a lateral wall of the rigid wrapping.