A wall-washing-effect LED lighting device comprising a supporting bar elongated longitudinally along an axis and having a substantially U-shaped longitudinal channel extending along the axis and having a light-emitting opening; a plurality of LEDs housed inside the channel and fitted to an inner surface of a distal lateral wall of the channel, alongside the light-emitting opening; and a reflector housed inside the channel, opposite and asymmetrically with respect to the LEDs; the light-emitting opening being bounded by a first longitudinal edge on the same side of the channel as the LEDs, and by a second longitudinal edge opposite the first longitudinal edge; wherein - in use, the LEDs, and the inner surface to which the LEDs are fitted, face a wall to be illuminated with a wall-washing effect; - the reflector is designed to reflect at least part of the light from the LEDs through the light-emitting opening and obliquely beyond the second longitudinal edge opposite the LEDs, i.e. obliquely beyond a proximal lateral wall of the channel, opposite the distal lateral wall fitted with the LEDs; - the reflector is designed to reflect the light from the LEDs through the light-emitting opening with a light distribution which is asymmetrical with respect to a centre plane of the light-emitting opening, and which extends horizontally beyond a vertical plane parallel to the centre plane and through the second longitudinal edge opposite the LEDs; - the reflector is designed to reflect the light from the LEDs with a light distribution which is offset laterally towards the side of the bar opposite the distal lateral wall fitted with the LEDs; - the distal lateral wall fitted with the LEDs is substantially perpendicular to the light-emitting opening, and the LEDs project perpendicularly from the distal lateral wall towards the reflector; - the bar has a substantially H-shaped cross section and has two opposite longitudinal compartments (8, 9) separated by a partition; the two compartments (8, 9) respectively defining said channel housing the LEDs and the reflector, and an auxiliary channel housing components for powering and/or controlling the LEDs, and/or additional light sources. - in use, the LEDs, and the inner surface to which the LEDs are fitted, face a wall to be illuminated with a wall-washing effect; - the reflector is designed to reflect at least part of the light from the LEDs through the light-emitting opening and obliquely beyond the second longitudinal edge opposite the LEDs, i.e. obliquely beyond a proximal lateral wall of the channel, opposite the distal lateral wall fitted with the LEDs; - the reflector is designed to reflect the light from the LEDs through the light-emitting opening with a light distribution which is asymmetrical with respect to a centre plane of the light-emitting opening, and which extends horizontally beyond a vertical plane parallel to the centre plane and through the second longitudinal edge opposite the LEDs; - the reflector is designed to reflect the light from the LEDs with a light distribution which is offset laterally towards the side of the bar opposite the distal lateral wall fitted with the LEDs; - the distal lateral wall fitted with the LEDs is substantially perpendicular to the light-emitting opening, and the LEDs project perpendicularly from the distal lateral wall towards the reflector; - the bar has a substantially H-shaped cross section and has two opposite longitudinal compartments (8, 9) separated by a partition; the two compartments (8, 9) respectively defining said channel housing the LEDs and the reflector, and an auxiliary channel housing components for powering and/or controlling the LEDs, and/or additional light sources.