A support section structure for a swing arm provides a well-balanced state for the weight of the vehicle in a widthwise direction and for efficiently increasing the rigidity of a vehicle body frame without inviting a significant increase in the weight of the vehicle body. A swing arm is provided for supporting a rear wheel Wr for rotation and is supported for a rocking motion on a center frame. An output power shaft of a power source is transmitted to the rear wheel Wr through a drive shaft. A left outer side frame and a intermediate frame, which support a front end portion of the swing arm for pivotal motion, are provided on the center frame. A right outer side frame disposed on the outer side in the vehicle widthwise direction with respect to the drive shaft on the intermediate frame is provided integrally against removal on the center frame.