Besides stone perishing, generated vibrations during stone cutting process can lead to bending, deflection and finally breakage of cutter disks. Therefore, study and predicting vibrations, is unavoidable in stone cutting process. In this research, by means of laboratory and statistically analysis, a study is carried out to predicting vibration of stone cutting process. For this purpose, a stone cutting machine in laboratory scale which equipped with vibration measurement tools, was provided. On a carbonate rock specimen, the study is carried out under different circumstance such as different practical cut depth (15, 22, 30, 35 mm), different cut advance rate (100, 200, 300, 350, 400 cm/min), different cutter disk rotation speed (1540, 1770, 2550 rpm). Results indicate that increasing in cut depth and cut advance rate, lead to increase in vibration intensity. Vibration intensity quantity even increased 6 times, when cut advance rate varies from 100 to 400 cm/min. Using SPSS software, after laboratory result investigation and statistically data analysis, vibration signal predicting statistical models are presented. Results of statistical tests indicates that the best fitting models enable predicting vibration quantity accurately and precisely with correlation coefficient range of 0.92 - 0.87, confidence level of 90% and error less than 10%.