The use of PIG in oil and gas pipelines has great important to maintain the structural integrity of pipelines, and it can be used for inspection, cleaning and interface separation. In this context, it is important that the PIG displacement happen in a controlled way causing the lowest possible impact to the operation, respecting the operating limits of the pipe and within the limits of the PIG s speed of displacement. If the PIG has a low speed, it can be trapped in the tubing and it can be difficult to release it. On the other hand, if the speed is high the PIG can damage the tubing in function of the generated impacts. In order to respect the requirements for the recommended PIG velocity displacement, and operational pipelines limits requirements, a thermo hydraulic PIG simulator was developed. The simulator predicts isothermal or thermal transient flow coupled with the PIG displacement. To control the PIG velocity, a control valve is installed in the body of the PIG. The PIG speed is as a function of the bypass aperture inside the PIG s body, ie, the greater the flow velocity in the pipe, the greater is the opening and the greater the flow through the PIG. The conservation equations of mass, momentum and energy coupled with force balance at the PIG were discretized by the finite difference method, and solved in coupled manner. A PID control method was employed to control the PIG velocity. It is investigated the displacement of PIG in both liquid and gas flow, considering or not the loss of heat for the environment. Several cases are presented demonstrating the effectiveness of the control method modeled.