Background: Several approaches have been proposed for monitoring and diagnosis of the induction machine. Although, most of them focus on a single fault, but in a real rotator machine, two or more defects can be present simultaneously. Furthermore, one faulty condition could impair the detection of a differing fault and a wrong decision about the operational status of the machine.Method: In addition, there are several types of rotor faults as broken rotor bars and eccentricities. Different types of eccentricities (static, dynamic and mixed) at different degrees were studied in the presence of the broken rotor bars. Eccentricities of both the natures usually exist together due to necessary tolerances in the manufacturing process. This study sets out to examine the faults possibilities which can occur in the machine using the finite element method. The air-gap magnetic flux density is used to investigate rotor faults. At first, the isolated fault such as broken rotor bars, static and dynamic eccentricities are analysed. Then, combined faults (mixed eccentricity) and multiple-combined faults (both mixed eccentricity and the broken rotor bars) are treated. The finite elements method is used to create these faults. Result: These faults are monitored by internal magnetic field signature, which is used for examining the effect of the increases of static eccentricity in dynamic eccentricity and vice versa. Furthermore, the same value of ME with different rates of static and dynamic is analysed. Conclusion: The multiple-combined faults are investigated considering the effect of broken rotor bars in mixed eccentricity.