An LED lighting device, extending along and about a central longitudinal axis, comprises at least one LED light source and a lens made of a transparent material, positioned along the axis; the lens having a concave inlet surface, facing the source, and a convex outlet surface, substantially aligned along the axis and extending about the axis; the inlet surface and the outlet surface have respective elliptic profiles, being defined by respective revolution surfaces generated by the rotation about the axis of respective ellipse portions belonging to a first and a second generatrix ellipses respectively.