The amplitude of vertical ground surface vibrations generated by impact tests on the ground surface was measured at various radial distances from the point of impact at locations of Greece. The results of measurements were analyzed in the frequency domain (in the range from 0-100 Hz) and the attenuation characteristics of soil materials were studied in terms of a frequency-independent attenuation coefficient, a 0 , of the empirical Bornitz equation. The aim of the study was to investigate the effect of soil stiffness (expressed by the value of lowamplitude shear wave velocity of soil, V SO ) on the value of attenuation coefficient, a 0 . Values of V SO for the tested soils were estimated by applying the methodology of Spectral Analysis of Surface Waves (SASW) technique and utilizing the surface vibration data. An empirical relationship between a 0 and V SO1 (V SO1 is the representative value of V SO for the soil profile up to a depth of one wavelength) was established for values of V SO1 ranging from 140 to 1000 m/s. A similar relationship in terms of the low-amplitude shear modulus of soil, G O1 , was also established by converting the V SO1 values to G O1 values. The experimental results were compared to values reported in the literature for comparable soil types and frequencies of vibration and a reasonable agreement was found to exist. The proposed empirical relationship can be utilized in many practical applications of soil dynamics requiring the knowledge of the attenuation rate of Rayleigh waves with distance in various types of soils.