A steering method and steering system which enable a minimum turn radius more than the discharge capacities of a hydraulic motor and a hydraulic pump and which positively prevent the unstable traveling and turning behavior of a vehicle when the vehicle makes a pivot turn. The vehicle is provided with a pair of brakes for right and left output shafts and designed to transmit the driving force of the hydraulic motor to the output shafts through planetary gear mechanisms. During a pivot turn of the vehicle, an operation of the brake of either one of the right and left output shafts and a transmission of a driving force from the hydraulic motor to a planetary gear mechanism are simultaneously carried out for a specified period of time and thereafter, the transmission of the driving force from the hydraulic motor to the planetary gear mechanism is interrupted.