We study the characteristics of motion modes of epidermal growth factor receptor (EGFR) trafficking in single cell, by using the automatic method of trajectory identification which is based on the directional persistence and mean square displacement analysis. Each trajectory of EGFRs is divided into four modes of motion: directional motion, super-diffusion, Brownian motion and sub-diffusion. The corresponding dynamic parameters of different modes of motion are calculated and discussed, providing an insight into intracellular trafficking of receptors.