A vehicle comprising a controller configured to switch between a constant speed traveling mode in which a vehicle speed is held constant and an inertial traveling mode in which a prime mover is stopped or in an idling state, and a clutch apparatus configured to connect and disconnect power transmission between the prime mover and an output target, wherein the controller is configured to control the clutch apparatus and to decrease a clutch capacity (Cap) so as to transit to the inertial traveling mode when detected that the vehicle is traveling on a downhill road during the constant speed traveling mode, characterised in that the controller is configured to terminate the inertial traveling mode of the vehicle, to control the clutch apparatus and to increase the clutch capacity (Cap) so as to transit to the constant speed traveling mode by performing a first matching control and a second matching control when detected that an inclination of the downhill road has become less than a prescribed angle (θr) during the inertial traveling mode, wherein the second matching control is performed after the first matching control has been performed, wherein the first matching control is a control which connects the clutch apparatus within a half-clutch range while converging an engine rotational speed (Ne) of the prime mover to a rotational speed during traveling in the constant speed traveling mode so as to match the engine rotational speed (Ne) of the prime mover to the rotational speed during traveling in the constant speed traveling mode before fully connecting the clutch apparatus, when terminating the inertial traveling mode and returning to the constant speed traveling mode, wherein the second matching control is a control which gradually increases the clutch capacity (Cap) as the inclination of the downhill road becomes gentle and performs a feedback control which fully connects the clutch apparatus so that a current vehicle speed coincides with a set vehicle speed of the constant speed traveling mode, and wherein a time range of the second matching control is set longer than a time range of the first matching control. wherein the controller is configured to control the clutch apparatus and to decrease a clutch capacity (Cap) so as to transit to the inertial traveling mode when detected that the vehicle is traveling on a downhill road during the constant speed traveling mode, characterised in that the controller is configured to terminate the inertial traveling mode of the vehicle, to control the clutch apparatus and to increase the clutch capacity (Cap) so as to transit to the constant speed traveling mode by performing a first matching control and a second matching control when detected that an inclination of the downhill road has become less than a prescribed angle (θr) during the inertial traveling mode, wherein the second matching control is performed after the first matching control has been performed, wherein the first matching control is a control which connects the clutch apparatus within a half-clutch range while converging an engine rotational speed (Ne) of the prime mover to a rotational speed during traveling in the constant speed traveling mode so as to match the engine rotational speed (Ne) of the prime mover to the rotational speed during traveling in the constant speed traveling mode before fully connecting the clutch apparatus, when terminating the inertial traveling mode and returning to the constant speed traveling mode, wherein the second matching control is a control which gradually increases the clutch capacity (Cap) as the inclination of the downhill road becomes gentle and performs a feedback control which fully connects the clutch apparatus so that a current vehicle speed coincides with a set vehicle speed of the constant speed traveling mode, and wherein a time range of the second matching control is set longer than a time range of the first matching control.