Pulse DC Sintering System (PDCS) is a cheap and quick way of producing different types of materials. After sintering of the sample, the cooling of the PDCS container is needed before taking it out. The sample production time is the sum of the sintering and the cooling time. Therefore, estimation of the sample cooling time must be made accurately to model sample production. Its container dimensions and the material, it is made of, determines its temperature during cooling. In this paper, a thermal circuit which models a pulse DC sintering system container during cooling is given. Its thermal circuit model is made assuming that some heat leaks from the steel container to the cooper bars, the copper bars and the container all have natural convection and also radiate heat to cool down. The thermal model is described with a set of nonlinear state-space equations. The state-space equations are solved numerically using Runge-Kutta 4 method. The time required to make the sample cool down to ambient temperature is calculated using simulations. The temperatures of the container and the copper bars of an PDCS system are measured to find the experimental cooling time. The results are compared. The PDCS thermal model is able to verify the experimental results. It has also been experimentally shown that the cooling time is not dependent on the sample type produced for the examined PDCS system. Such a model can be easily implemented in an engineering software which aims to model the sample production process of the PDCS system and can also be used for its optimization considering its physical parameters such as dimensions, electrical and mechanical constants etc.