An acceleration and deceleration method with steps that calculate transferring distance, average transferring speed in the x-direction and y-direction, intermediate destination position at every sampling time and the number of sampling times based on final destination position, initial current position and rectilinearly transferring speed; a step of determining initial position; and steps which calculate position pattern and destination position with linear equations, detect intermediate current position with linear equations, sequentially calculate position deviation and transferring speed per sampling time, so that the next step outputs a driving signal for a servo motor. Therefore, an object is transferred in exponential acceleration and deceleration according to linear equations describing rectilinearly transfer speed, and transferring distance in x-direction and y-direction.