A web product cutting and screening machine includes a first conveying unit having a first movable roller set, a second conveying unit having a second movable roller set movable relative to the first movable roller set and defining with the first movable roller set a first gap therebetween, and a cutter movable across the first gap to cut off a web product, producing a head cut piece, normal cut pieces and a tail cut piece. During screening operation, the second movable roller set can be moved away from the first movable roller set to screen the heat cut piece and the first movable roller set can be moved away from the second movable roller set to screen the tail cut piece, and therefore the web product cutting and screening efficiency is improved.