The invention provides an inner taper angle magnetic liquid damping vibration absorber with an elastic cushion and belongs to the field of mechanical engineering vibration. The inner taper angle magnetic liquid damping vibration absorber successfully solves the problem that an existing magnetic liquid vibration absorber cannot be applied to engineering practice due to various structure problems. The inner taper angle magnetic liquid damping vibration absorber comprises a left end cover (1), the elastic cushion (2), a shell (3), a left thread check ring (4), a left positioning permanent magnet (5), a left positioning rod (6), a first energy dissipation permanent magnet (7), a connecting rod (8), a second energy dissipation permanent magnet (9), a right positioning rod (10), a right positioning permanent magnet (11), magnetic liquid (12), a right thread check ring (13), a right end cover (14) and a vent groove (15). When outside vibration occurs, the magnetic liquid moves together with the left positioning permanent magnet (5), the first energy dissipation permanent magnet (7), the second energy dissipation permanent magnet (9) and the right positioning permanent magnet (11), and therefore energy is absorbed; a frequency difference is formed between a mass block and the shell (3) under the taper angle action of the left positioning permanent magnet (5) and the right positioning permanent magnet (11), and vibration absorption efficiency reaches the maximum.