We have studied, the relationship between monthly variations of average counting rates of cosmic ray intensity (CRI) at Moscow super neutron monitoring station with mid cut-off rigidities (~2.42 GV), and the solar radio flux at 10.7cm (F10.7) and sunspot number (SSN) during the solar cycles 22 − 24. The F10.7cm (2800 MHz) and SSN is an excellent indicator of solar activity for the study period. We have investigated the patterns of long-term and mid-term periodicities of SSN and F10.7, using Fast Fourier Transform (FFT) technique. We have observed the time-lag between ascending phase of CRI with F10.7cm and SSN during solar cycles 22 − 24.