The invention relates to a solid-liquid separating device and a solid-liquid separating process with a filtering and air separating machine. The solid-liquid separating device consists of a sedimentation tank 1, a central hollow shaft 2, a filtering device 3, a swirl flow pressboard 4, a self-cleaning device 5, a stop plate 6, a slag guide device 7, an air separating device 8, a slag outlet 9, a limiting flat cone plate 10, a flow guide centrifugal device 11, a vacuum tube 12, a hollow shaft 13, a helical extrusion device 14 and a tailing inlet 15. The solid-liquid separating process with a filtering and air separating machine can greatly improve solid-liquid separation quality, discharge water molecules under the action of a high-pressure air flow, allow ultrafine particles to enter space between large particles, achieve close combined by extrusion, make the dewatering more complete and more cleanly, and greatly reduce the infection density of a tailing dam and project invention.