In this paper, we study the decentralized control problem for nondeterministic discrete-event systems (DESs) under bisimulation equivalence. In order to exactly achieve the desired specification in the sense of bisimulation equivalence, we present a synchronous composition for the supervised system based on the simulation relation between the specification and the plant. After introducing the notions of simulation-based controllability and simulation-based coobservability, we present the necessary and sufficient condition for the existence of a decentralized supervisor such that the controlled system is bisimilar to the specification, and an algorithm for verifying the simulation-based coobservability is proposed by constructing a computational tree. Key Words: Discrete-event systems, bisimulation equivalence, nondeterministic systems, decentralized supervisory control. prove E(y 2 ) ∩ Σ uc ⊆ E(y 1 ) ∩ Σ uc . Therefore, E(y 1 ) ∩ Σ uc = E(y 2 ) ∩ Σ uc . Rui Zhao received her M.S. and Ph.D. degrees from Liaoning Technical University, China, and Guangdong University of Technology, China, in 2003 and 2013, respectively. She is currently a lecturer at School of Computers, Guangdong University of Technology, China. Her current research interests include failure diagnosis of discrete-event systems, computational intelligence, extension engineering and granular computing.