A unitary modular link or link section for use in forming a rodless conveyor belt or a section thereof is provided. The link section includes a plurality of laterally-repeating link-shaped portions, each including an apex portion and a pair of leg portions. Each apex portion includes a receiver for receiving an integral first connector extending between the leg portions of a next-adjacent link or link section, preferably in snap-fit engagement, such that relative pivoting movement is established. A second integral connector maybe provided between the leg portion of each adjacent apex portion to create an engagement surface for a tooth of a drive or idler sprocket. The underside surface of each link section may also be specially contoured or curved to facilitate smooth passage over a guide structure.