A desktop elastic launch game device includes a carrying body in the form of a rectangular flat board and having a predetermined height; a wall body higher than the carrying body and circumferentially arranged around a perimeter of the carrying body; a separation board arranged on the carrying body to have two ends mounted to the wall body and being formed, in a bottom portion, with a hollowed portion corresponding to the through holes; a plurality of elastic bodies, each of which has two ends that are mounted to opposite portions of the wall body and arranged adjacent to each of the through holes; and a plurality of plate bodies, which are placeable against each of the elastic bodies so that the plate bodies are selectively launched out toward the hollowed portion by a spring force of the elastic bodies.