The paper describes implementation details of the Cellular Automaton Algorithm (CAA) [I. Abt, D. Emeliyanov, 1. Gorbounov, 1. Kisel, Nucl. Instrum. Methods Phys. Res. A490, 546 (2002)] for reconstruction of the particles' tracks in Transition Radiation Detector (TRD), designed for Compressed Baryonic Experiment (CBM) which will operate at the future Facility for Antiproton and Ion Research (FAIR) in Darmstadt, Germany. The application and performance of cellular automaton method for standalone track finding and first level event selection are presented.