Plastic helical wheels are usually used as wheels meshed with a worm. The meshing between a helical wheel and a conventional worm is of a point contact, and the strengths of plastic helical wheels are considered to be lower than those of worm wheels which mesh at line contact with a conventional worm. By using a line contact worm gears, the higher strength is expected. In this paper, worms which mesh at line contact with helical wheels were developed, and the strengths of plastic helical wheels meshed at line contact with a worm were determined.