With the continuous development of artificial intelligence technology, the continuous improvement of three-dimensional animation design technology has become an inevitable trend. This paper conducts a simulation study on the intelligent behavior of three-dimensional animation characters in film and television, using finite state machines as the basis. First, we look at the basic parts of the character behavior diagram design and behavior modeling. Then, we use the decision state of the finite state machine to define the intelligent behavior of a three-dimensional animation character. Finally, we combine the character behavior operation principle with the character action generator to finish building the character intelligent behavior model. Under the technical support of the film and television animation character behavior model of the finite state machine, Anima Studio is used to realize the construction of the film and television animation character simulation platform, and the platform of this paper is used to explore the simulation of intelligent behavior of animation characters. Upon exploration, we discover that the animated character, utilizing the finite state machine model, operates efficiently and consistently, thereby demonstrating the simulation effect of the film and television animation character simulation platform in a vivid and realistic manner.