The present invention is an extruded hollow thermoplastic sheeting, which is made of a pair of flat and parallel sheets spaced apart and interconnected by extending ribs of shifted patterns, e.g. of a sigmoid pattern, is disclosed in this invention. The thermoplastic sheeting of the invention has stronger tear strength and balanced physical properties as compared to hollow thermoplastic sheeting with extending ribs of straight pattern of the same specification. The present invention also provides a method for production thereof, wherein a fixing and cooling assembly is oscillated relative to a die, or vice versa, to create the ribs of shifted patterns.