A device for laying reinforcement cords (41) of a tire. The device is formed of a first frame (1) comprising a motor-driven shaft (10) with an axis XX′, the motor-driven shaft (10) supporting a reference form on which the blank (4) of the tire rests. The first frame (1) itself is mounted rotatably about an axis ZZ′ on a second frame (2) in such a manner that the axis ZZ′ has a point of intersection with the axis of rotation XX′ and belongs to the equatorial plane (E) of the blank (4) or of the reference form on which the blank rests. A third frame (3) is rigidly connected to the second frame (2), the third frame (3) supporting an apparatus (13) for laying the lengths of cords (41) by projection of the lengths of cords directly into their final position on the receiving surface formed by the tire blank (4).