This work describes the control of the amplitude of the output signal (or amplitude stabilization) in digital sine recursive oscillators. As in the case of analog oscillators, it is also necessary to control the amplitude of digital oscillators with a sine wave. If the amplitude is not controlled, exponential increase or decay of the oscillation amplitude occurred, even if floating-point arithmetic is used. An example of digital sine recursive oscillator control with quadrature outputs, simulation results and design results are given in detail. Oscillator amplitude control is performed in a completely new way with a simple and fast algorithm for finding the maximum (minimum) and amplitude correction in case the amplitude differs from the desired value. The advantage is that the oscillator can be simply implemented by a program in the microcontroller.