Entropy is one of the most important properties of thermodynamic functions to determine the nature of the changes that occur in the system. The aim of this paper is an attempt to identify the quantum entropy of dilute plasma model that contains two components, electrons and ions. It is seen from the results that entropy decrease exists necessarily in isolated systems. We calculated the quantum thermodynamic entropy in terms of is the non extensive parameter q which is describing the degree of non extensively in our model. The quantum entropy is directly proportional to increasing velocities and temperature in the velocity of particle interval (0,0.1c) for dilute relativistic plasma where c is the speed of light. However, at sufficiently high speeds, this approximation is no longer valid. Also, It is have oscillatory behavior with increasing velocities for dilute relativistic two component plasma model which evaluated by using the q-non extensive parameter.