Patterns of object naming were influenced by the language of the people used. In this study, we aimed to simulate the bilinguals' naming patterns and investigate the underlying mechanisms. Our results replicated the empirical findings that (1) bilingual speakers develop converged naming patterns in their two languages that are distinct from those of monolingual speakers of each language and (2) how the bilingual semantic convergence was manifested in their lexical representations. We also demonstrated that both orthography and connections between two languages are important to establish converged naming patterns in bilinguals. Furthermore, our modeling data suggested that the strength of name agreement in the two languages are involved in the cooperation and competition relationships on the object naming. Our model provides a foundation for examining the factors contributed to the patterns of object naming in bilinguals.