The invention relates to a drainage device for surface drainage, in particular to drainage channels with a channel body and a frame which fits on an upper edge of the channel body, comprising an outer arm and an inner arm between which the upper edge of the channel body sits, for housing a cover. According to the invention, simple economic production and assembly of the frame on the channel body may be guaranteed whereby the frame is embodied such as to be able to be cast within the body of the channel body on the casting thereof, or alternatively, may be fixed to the channel body by means of continuous jointing to a pre-fabricated channel body.