An air-cleaner structure of a saddle-ride vehicle is provided with an air-cleaner case arranged between a seat and a head pipe located in front of the seat. The air-cleaner case is provided with a bottom half and a top half. The bottom half is arranged in a space surrounded by a rear face of the head pipe and a pair of left and right main frames extending from the head pipe toward the rear of the vehicle. The top half is situated above the main frames. The top half is provided in a vertical two division structure. A dividing surface of the vertical two division structure of the top half is inclined in the vehicle-longitudinal direction. An air-cleaner element is mounted along the inclined dividing surface.