An alignment piece (1, 9) for a connector for optical conductors (16) comprises a support plate (2, 10), a guiding plate (3, 11) made with very high accuracy and one or more alignment channels (4) for the conductors. The guiding plate (3, 11) has an end edge (5) in which the ends of the alignment channels are made as V-shaped slots (6) and the support plate (2, 10) is provided with an inclining guiding surface (8) in which the alignment channels (4) extend. The inclining guiding surface (8) of the support plate (2, 10) ends at a distance from the end edge (5) of the guiding plate (3, 11) wherein a support member (14, 20) is provided between this end edge and the guiding surface (8), which support member (14, 20) projects above the guiding surface (8). This support member (14, 20) supports the conductors (16) during introduction under such an angle of inclination that the conductors project above the end edge of the guiding plate (3, 11).