Curve conveyor (1), comprising a guiding track extending along a circular arc (2), which guides a conveying part (3) of an endless conveyor (4), the conveying part comprising a plurality of chain strands (5, 6, 7) which with a common center of curvature (C) are spaced apart at an equal radial pitch, and a drive (8) cooperating with the chain strands, which during operation leads the chain strands at a mutually equal angular speed through the guiding track, wherein the chain strands are each built up from a singular series of successive conveyor modules (9) which are each provided at their top with a substantially flat top surface, and wherein the radial pitch between the chain strands substantially corresponds to the radial width of the conveyor modules so that sides of the conveyor modules with enclosure of a narrow gap adjoin and the top surfaces in the conveying part form a substantially uninterrupted conveying surface.