Abstract Recent experimental investigations have shown that formation of intercellular bridges accompanies malignant transformation of several cell types in vitro and that such bridges are capable of transmitting a mitotic stimulus from cell to cell. The present paper formulates on a generalized basis some of the more important theoretical properties of mitotically self-exciting syncytia of the type mentioned above, and establishes some conceptually useful criteria for determining the probability of formation and the relative malignancy of such systems. It is suggested that, in principle, syncytia formed of bridge-connected cells are mitotically unstable, and, provided they contain a critical minimum number of cells, whose value is defined by a ‘spontaneous mitotic index’, are highly malignant in nature.