Abstract: The invention provides a twin-needle sewing machine for stagger sewing, wherein a needle bar is angularly adjustable transversely to its longitudinal axis and is so guided as to be longitudinally displaceable in an angularly adjustable holder. Herewith, two needles may be placed in a plane extendable parallel to the obliquely extending edge of the material part to be sewn on. With the obliquely cut-up material part fed with the material part to be sewn on, at the start of the sewing, both needles will penetrate simultaneously into the material part to be sewn on. Even in the case of obliquely running-on or feeding material pieces, sewing can be effected in a locking manner.