The Roots blower belongs to the non-contact rotor pump family, therefore, there are always certain clearances between rotors and clearances between the rotor and the stator. These clearances have serious effects on the working performance of blower. Therefore, to determine the design error and the method of machining to achieve the lowest price, required machining technology, flow rate and pressure, the determination of leakage flow rate and pressure through the head gap and rotor gap is very necessary. Thus, in this paper, the authors conduct to build a mathematical model in order to determine the flow rate and pressure of blower in the ideal case in which there is no clearance and the case in which there are clearances. On that basis, the authors aim to evaluate the impact of head gaps and rotor gap on flow rate and pressure leakage. In order to improve the working performance of blower and to choose the machining method that is suitable for the applications of this blower.