A vehicle running control method includes: when a junction section lane is present adjacent to a traveling lane of a host vehicle, collecting, by a processor, vehicle information of at least one vehicle traveling in the junction section lane; determining, by the processor, the possibility of cut-in of junction section lane vehicles based on the collected vehicle information and whether the traveling lane is congested; and controlling, by the processor, at least one of the traveling path or the traveling velocity of the host vehicle based on the result of determination in order to display an intention to yield.