The paper presents an augmented reality based solution for hand movement rehabilitation using visual and tactile feedback. The proposed approach to the rehabilitation process combines the effects on visual, auditory and tactile channels of perception and simulation scenarios. In order to develop a hand movement model capable of solving rehabilitation tasks there was studied the concept of immersive virtual reality. Original 3D models and scenes have been developed to simulate the basic hand positions and motor functions. To provide efficient hand motion fixation it is recommended to implement a mechanical position tracking system based on a sensor glove improved by using the resistive transducers. Augmented reality is implemented to inspire and motivate the user to perform the required exercises by generating the corresponding pictures. Personalized comparative analysis of the dynamics of the patient's initial condition and rehabilitation results help to study the motor function and restore everyday skills. The proposed solution allows achieving accuracy and adequacy of fingers movements sufficient to satisfy the requirements of medical rehabilitation applications.