In a vehicle for uneven ground operation front wheels can be steered with a handle via a steering shaft mounted rotatably on the body frame with an upper cross beam being placed in spanning relationship between left and right front upper pipes composing the body frame and said steering shaft is supported by the upper cross beam. The left and right pipes can be coupled firmly to each other with the upper cross beam for enhancing the rigidity of the body frame. In addition, the number of components can be reduced as compared to providing a distinct steering shaft support member so that a reduction in the weight of the vehicle is achieved. If the upper cross beam is bend molded, the rigidity of the upper cross beam can be enhanced so that the rigidity of the body frame is further enhanced, while a weight increase is suppressed.