In a parking assistance apparatus disclosed herein, when a lateral parking mode switch is set at an initial stop position A, a controller calculates a backward movement start position B for parking based on a yaw angle and a steering angle of a vehicle, and issues guiding information to stop the vehicle upon having determined that the vehicle has reached the calculated backward movement start position B. After having sensed that a shift lever was shifted to a reverse position, the controller displays on a display an image captured by a camera as to an area behind the vehicle, and also displays on the display in a superimposed manner an estimated vehicle space in the case where the vehicle moves backwards while maintaining a steering angle at the time of the shift of the shift lever. The driver operates a steering wheel so as to establish a suitable positional relation between the estimated vehicle space and a target parking space on the display, whereby an appropriate steering angle is obtained in moving the vehicle backwards.