Calculating the azimuth of a star can be achieved by using spherical trigonometry formulas „sinZC", „ctgZS" or with A.B.C. tables using D.H-90 tables or Norrie's Nautical Tables. The quadrantal zenith angle counting rule can be achieved only for the positive heights of a star. In this paper the authors developed the generalized quadrantal zenith angle counting rule for the cases in which the heights are negative.