The invention (hereinafter - device) belongs to devices for animal education or training and may be used for game, recreational or recovery exercises with animal, predominantly with dog, and also for animal therapeutic exercises.In the animal training or animal game device, having the frame in the form of torus ring of ethylene vinyl acetate, the ratio of the torus ring cross-section d diameter to the frame torus ring greater D diameter is defined by the ratio: d=0.1...0.2D.The invention allows to improve the performance of game, recreational and recovery exercises with animal, predominantly with dog, and also of therapeutic exercises by means of training or game intensity increase, higher use safety for man and animal, and also simplification of the device making and use.