A vehicle speed limiting apparatus comprising: a vehicle speed control apparatus: a depression amount detection part that is configured to detect the vehicle's accelerator pedal depression amount; a speed limit determination part that is configured to determine the speed limit of the road on which the vehicle is traveling; and an estimation part that is configured to estimate the start of the vehicle's lane change; the vehicle speed control apparatus comprising: an upper-limit determination part that is configured to determine an upper-limit speed of the vehicle according to the speed limit of the road determined by the speed limit determination part; and a vehicle speed control part that is configured to control a speed of the vehicle according to a speed command value generated according to the depression amount of the vehicle's accelerator pedal or a speed command value generated according to the upper-limit speed, whichever results in a lower vehicle speed, the vehicle speed limiting apparatus being characterized in that the vehicle speed control part is configured to control a speed of the vehicle according to the speed command value generated according to the depression amount of the vehicle's accelerator pedal or a speed command value generated according to the upper-limit speed that is determined by the upper-limit determination part before a start of the vehicle's lane change is estimated by the estimation part, whichever results in a lower vehicle speed, during a period of time during which the estimation part estimates the vehicle's lane change and the speed limit determination part determines a reduction of the speed limit. a depression amount detection part that is configured to detect the vehicle's accelerator pedal depression amount; a speed limit determination part that is configured to determine the speed limit of the road on which the vehicle is traveling; and an estimation part that is configured to estimate the start of the vehicle's lane change; the vehicle speed control apparatus comprising: an upper-limit determination part that is configured to determine an upper-limit speed of the vehicle according to the speed limit of the road determined by the speed limit determination part; and a vehicle speed control part that is configured to control a speed of the vehicle according to a speed command value generated according to the depression amount of the vehicle's accelerator pedal or a speed command value generated according to the upper-limit speed, whichever results in a lower vehicle speed, the vehicle speed limiting apparatus being characterized in that the vehicle speed control part is configured to control a speed of the vehicle according to the speed command value generated according to the depression amount of the vehicle's accelerator pedal or a speed command value generated according to the upper-limit speed that is determined by the upper-limit determination part before a start of the vehicle's lane change is estimated by the estimation part, whichever results in a lower vehicle speed, during a period of time during which the estimation part estimates the vehicle's lane change and the speed limit determination part determines a reduction of the speed limit. an upper-limit determination part that is configured to determine an upper-limit speed of the vehicle according to the speed limit of the road determined by the speed limit determination part; and a vehicle speed control part that is configured to control a speed of the vehicle according to a speed command value generated according to the depression amount of the vehicle's accelerator pedal or a speed command value generated according to the upper-limit speed, whichever results in a lower vehicle speed, the vehicle speed limiting apparatus being characterized in that the vehicle speed control part is configured to control a speed of the vehicle according to the speed command value generated according to the depression amount of the vehicle's accelerator pedal or a speed command value generated according to the upper-limit speed that is determined by the upper-limit determination part before a start of the vehicle's lane change is estimated by the estimation part, whichever results in a lower vehicle speed, during a period of time during which the estimation part estimates the vehicle's lane change and the speed limit determination part determines a reduction of the speed limit.