High speed variable pitch timing screw is an important foundation component of feeding system in packaging machinery. It is the throat of the whole equipment. In this paper, the artificial bee colony algorithm is employed to optimize the structure parameters of the screw, providing a basis for the design of maximum number of circles. The high speed variable pitch timing screw optimization model takes the minimum total length of the variable pitch screw helix as the optimization goal, with maximum number of helix circles as design variables, the plugging effect on the packaging container is kept, as well as the rate of acceleration change is no more than the predetermined value as the constraint conditions. The results show that the maximum numbers of helix circles obtained by artificial bee colony algorithm can effectively reduce the total length of variable pitch timing screw. It is useful for the reasonable selection of high speed variable pitch timing screw structure parameters.