AbstractThis paper studies the synchronization of interconnectedk‐valued logical networks, as well as that of interconnected higher orderk‐valued logical networks, based on their algebraic representations. For interconnectedk‐valued logical networks, one necessary and sufficient criterion of synchronization is established via the definition of synchronization and another equivalent condition is given by combining synchronization with fixed points and cycles. Furthermore, with some special properties of semi‐tensor product, the third necessary and sufficient condition for synchronization of interconnectedk‐valued logical networks is raised in terms of transition matrices. Then, the limit set method can be used to analyze the synchronization of interconnected higher orderk‐valued logical networks. Finally, three examples, including the Boolean model for interconnected biochemical oscillators in the cell cycle, are presented to illustrate effectiveness of the results.