This paper proposes the backstepping technique for 1 DOF non-laminated active magnetic thrust bearings (1 pair of magnetic poles) in whichthe mathematical model contains fractional order derivative components, this is the influence quantity of the eddy current. The purpose ofthe problem is to control the setting value of the thrust disk to reach the desired position. First, the mathematical model of non-laminatedactive magnetic thrust bearings in the form of a fractional order derivative component is introduced. To obtain the stability of the controlobject, the Lyapunov function is selected to have a positive value, and the control current is chosen so that the fractional derivative of theLyapunov function is negative to verify the performance of the non-laminated active magnetic thrust bearings using backstepping controltechnique, a simulation structure was performed on MatlabSimulink software. The results show that non-laminated active magnetic thrustbearings stabilize the actual state variable values and reach the desired set value in a very short time.