Microwave propagation during sand and dust storms has received appreciable attention of researchers in the recent past due to the increase in the number of terrestrial and satellite links being deployed in the regions where dust storms are predominant. Dust storms cause signal attenuation on an earth-satellite link for a substantial percentage of time which may affect quality and reliability of telecommunication services. This paper investigates the attenuation due to dust storms along the earth-satellite link. A mathematical model, expressed as a function of visibility, wavelength, elevation angle and storms’ reference height, is developed to predict dust storms’ attenuation along propagation path. Variation of the dust storm’s visibility with height for different reference visibility conditions is also given. The mathematical model for attenuation in earth-satellite link was developed by applying visibility variation to the expression of attenuation constant in terrestrial link. This was then integrated with respect to dust storms’ height. The results obtained are depicted in graphs and discussed. It is found that attenuation increases when visibility during dust storms gets severe. Lastly, the results obtained show that attenuation in earth-satellite link operating at X band, especially, during dust storms may be said to be insignificant except when visibility is extremely bad.