A digital filter for narrowband interference rejection, including modules of narrowband interference rejection connected in series, each of which includes the following elements connected in series: a block of successive vector rotation based on the CORDIC vector rotation algorithm for integers, a block of reduction of the length of the rotated vector to maintain the same number of bits for digital signal representation, a block of high-pass filters for orthogonal components of the reduced vector in order to remove the interference from zero frequency region. The filter can be implemented without multiplication.