Abstract: The present invention is for a machine for digging under pipes, wherein the machine comprises a frame having a caterpillar drive traction device mounted thereon, as well as left and right end effectors. The end effectors are each made in the shape of a mount which is attached to the frame and capable of forced rotation about the vertical axis. These end effectors also comprise a cylindrical endless-screw-type driving cutters as well as a cylindrical blade attached to the mount coaxially behind the cutter. The cutter is mounted at a lower end and on the side of the mount so that its rotation axis is horizontal. The machine further includes a transversal stabilization device comprising two stabilization mechanisms, wherein each mechanism comprises an adjustable-height support member that rests on the bottom of the trench. The traction device includes a frame as well as a caterpillar that comprises rigid brackets and flexible support members.