Rock abrasivity is an important parameter that influences tool design and wear, the efficiency of tools, and cost during rock ex- cavation. Generally, the abrasiveness of rocks is measured with the Cerchar abrasivity index (CAI). In this research, several Cerchar abra- sivity parameters such as penetration of stylus (Ps), the volume of material scratched in the groove (Vm), scratching force (SF), scratching energy (SE), and Cerchar scratching specific energy (CSSE) were determined using an Cerchar device. For evaluating Cerchar abrasivity parameters, 24 rock samples were used comprising igneous, metamorphic, and sedimentary rocks. The new classification was presented based on the Cerchar abrasivity index and Cerchar abrasivity parameters. In this research, the specific energy of the Sievers J miniature drill test (SJ) was calculated for comparison with the specific energy of the Cerchar abrasivity test. Then, the relationship between Cerchar abrasivity parameters with SJ was investigated, new relationships between Cerchar abrasivity parameters and SJ with accurately acceptable presented. The results indicated that the Cerchar abrasion ratio (CAR) is a good parameter for measuring rock abrasivity and cutting. The SJ exhibited a good relation (R2=0.78) with CAR. In addition, CAR showed a good correlation (R2=0.97) with the specific energy of the rock cutting test (SEcut). The CAR can be used to evaluate abrasivity laboratory tools and the specific energy of a rock cutting test.