The invention provides a passive air spring shock-absorption mechanism provided with a universal damper and a variable rubber membrane. The passive air spring shock-absorption mechanism provided withthe universal damper and the variable rubber membrane comprises damping oil (1), the universal damper (2), a central swing rod (3), a swing rod (4), a load limiting disc (5), a load disc (6), a swingrod ball (7), a rubber membrane fixing piece (8), the variable rubber membrane (9), a center cavity (10), an auxiliary air chamber (11), a main air chamber shell (12), a main air chamber (13), an auxiliary air chamber shell (14), and a damping hole (15). When the passive air spring shock-absorption mechanism is vibrated in the horizontal direction, the central swing rod moves horizontally, a damping effect is achieved through the damping oil and the universal damper jointly, and the vibration isolation performance in the horizontal direction is improved. Meanwhile, when the passive air springshock-absorption mechanism is vibrated, the central cavity moves to drive the variable rubber membrane to compress gas, and a damping effect is achieved when the compressed gas passes through the damping hole, so that the vibration isolation performance in the horizontal direction is further improved. The passive air spring shock-absorption mechanism is high in universality, simple in structure and good in manufacturability and has a broad application prospect.