A cutting device includes a first part and a second part which is pivotably connected to the first part. A first fixing portion is located in the top side of the first part. The second part has a second fixing portion defined in the underside side thereof and facing the top side of the first part. The second fixing portion is located corresponding to the first fixing portion. A reception slot is defined axially in the second part and communicates with the second fixing portion and the underside of the second part. A blade is inserted into the reception slot. A hole is defined through the first part for receiving a hydraulic hose. A pressing member is pivotably located in a recess in one side of the first part and is able to press the hydraulic hose passing through the hole and the recess.