The Characteristics of the daily variation of cosmic ray intensity on different types of anomalous days have been studied by using data of Neutron Monitors. It is observed that Cosmic Ray intensity remains statistically low during the period of 1996-1998 on both Beijing and Moscow Neutron Monitor stations. These data are subjected to Harmonic Analysis and Fourier Techniques for entire period of consideration that is 1996-2006. The amplitude and phase of diurnal and semidiurnal anisotropies on these stations particularly on Anomalous days have been discussed. The occurrence of these events are dominated during solar activity minimum years. The number of days of occurrence is more anti-correlated with solar cycle.