This paper is a comprehensive analysis about circular saws exerted the inertia stresses, thermal stresses and residual stresses inducted roll and hammer tensioning in working procedures. And analyze the weaknesses and the advantages of two methods of roll tensioning and hammer tensioning. In order to take advantages to compensate the weaknesses to bring forward a new tensioning method compressed many areas i.e. the tensioning spots compressed by using the roll-head whose surface is spherical, cylindrical or cone. The X-ray stress-checking instrument is used to test the residual stresses in the tensioned circular sawblades compressed on many spots. The result explains the stress distribution curve is very ideal and the residual stresses by tensioning almost offset the total inertia and thermal stresses inducted in the work. This explains it is a new circular tensioning method with developing value by compressing many spots. It exists in certain residual stresses on the rim of the sawblade’s central bore, outside and the areas near the slot bore because of the influence of the machine processes.