Russell and Subramanian [1-2] considered decision-making model of agent as an function, which maps environment sequence or percept to action. This depiction can?t represent the effects of internal state of intelligent agent to action selection. Wooldridge [1] considered internal state as basic condition of representing an intelligent agent. But in his decision-making model, action can affect internal state merely through changing environment. Thus, the internal state isn?t suitable for including mental state of intelligent agents. Therefore, in this paper, we put forward two decision-making models for intelligent agents with internal state. In these two models, the action of agents not only can affect environment, then affect the internal state of agents through the percept of environment, but also can directly affect the internal state itself. This depiction of internal state is fit to include the mental state of agent, thus provide a suitable model for the decision-making of intelligent agents.