The modeling or synthesis of Petri nets has been recognized as a key step for applying Petri nets to performance analysis, control, and simulation of industrial production systems. This paper addresses this synthesis problem by adopting a global and incremental synthesis approach: knitting technique for manufacturing systems. The knitting technique has been applied to Petri net modeling and analysis of communication networks. The idea behind this technique is to introduce details in an incremental way, i.e., by adding new paths andlor cycles to a Petri net. At each step the Petri net model grows according to certain rules which will guarantee such system properties as boundedness, liveness, and reversibility. Thus the cumbersome analysis for these properties can be avoided while designers can still build up a Petri net model for a complicated system. The knitting rules are divided into two types: TT and PP with a number of variations. The results are illustrated through Petri net modeling of an automated manufacturing system which consists of two robots, five machines, and a two Automatic Guided Vehicle (AGV) system.