A preceding vehicle following cruise control is configured to shift
automatically from a low speed following cruise control mode to a high
speed following cruise control mode when a vehicle speed changes from a
low speed region to a high speed region while a vehicle speed setting is
set. Alternatively, the preceding vehicle following cruise control system
is configured to shift automatically from the low speed following cruise
control mode to the high speed following cruise control mode when the
vehicle speed changes from the low speed region to the high speed region
while a history of mode switching operation history indicating that the
following cruise control mode has been changed from the low speed
following cruise control mode to the high speed following cruise control
mode is stored in a memory section.