To provide a vehicle having a lateral traveling system capable of carrying out a transfer of a traveling mode from a straight advancement mode to a lateral traveling mode even if a steering wheel is not positioned at a neutral position.

One side turning means 40 for turning a traveling driving means 31 interlocked and connected to a pair of one wheels 4 around a vertical shaft center 37 is provided. The other side turning means 60 turning the other side pair of wheels 3 around a vertical shaft care 59 and a restricting means 70 for just beside turning are provided. The other side turning means has a direction-change cylinder 61 integrally formed with bodies 61a, 63a and a wheel lateral traveling cylinder 63. A piston rod 61c is fixed to the direction-change cylinder and a body is made movable. In the wheel lateral traveling cylinder, a pair of wheels are turnably provided respectively. The wheel lateral traveling cylinder becomes a non-operation attitude at the time of operation of the direction-change cylinder by an orbit roll 80. Bypass valves 84A, 84B and opening/closing valves 85A, 85B are provided between the direction-change cylinder and the orbit roll.