This paper presents an interest in simulating a dynamic absorber of vibration for turning. A mathematical model of a turning machining system is presented in the form of a single-mass model with one degree of freedom in the direction of cutting depth and the effect of elastic displacement on the cutting width. The dynamic absorber of vibration is presented as one mass rigidly connected to the tool and linear damper. The mathematical model of the machining system with a dynamic absorber of vibration considers the closedloop of the cutting process and its delay function. An application soft has been developed for simulating the machining system in time and frequency responses. According to the Nyquist frequency criterion, preconditions are made to assess the machining system's stability with a delay. Simulating allows selecting the dynamic parameters in the design of the absorber of vibration and the vibrationfree mode of cutting.

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