A network for an oil-smoke exhausting device includes multiple cone-shaped nets separately piled up to one another and adapted to be mounted under an inlet of the oil-smoke exhausting device. Each net has a close end and an open end. The close end has a diameter smaller than that of the open end and the open end is adapted to be mounted around an inlet of the oil-smoke exhausting device. A flange radially outwardly extends from the open end of each of the nets and abuts one another. A washer is mounted between each two adjacent nets to form a chamber between each two adjacent nets. A fastening member securely extends through the cone-shaped nets and the wash ers to hold the washers in place. A frame is mounted around the open ends of each of the cone-shaped nets to combine the flanges securely abutting one another.