This thesis deals with balancing of rotary machines in one plane. It is divided into a theoretical part and a practical part. The theoretical part is deals with the basics of vibrostatics and operational balancing, with emphasis on the evaluation of machine vibration. The practical part deals with SW solution in Matlab environment. It explains the functionality of individual parts, their arrangement, connection and mutual continuity, and layout of the program. The programmed solution is tested on a series of measurements in which the balancing itself is evalated and compared with the classical method used in balancing rotary machines in one plane.