Direct torque control (DTC) is a fast and simple torque control method for induction motor without speed sensor. Conventional AC-DC-AC converter has a large DC link capacitor and low power factor in the input power line. In the matrix converters the DC link capacitor can be reduced and the unity input power factor can be obtained. In this paper a new method for direct torque and stator flux control with unity power factor using matrix converter is suggested. The proposed matrix converter consists of 9 uni-direction switches with a clamp circuit. Reference voltage vector for matrix converter is calculated based on input-output feedback linearization with a constant switching frequency. Simulation results confirm the effectiveness of the proposed method and compared with the classic DTC method of matrix converter fed induction motor.