The invention discloses a damping vibration absorber with magnetism-isolating covers, magnetic liquid and application of a first-order buoyancy principle, and belongs to the field of mechanical engineering vibration. By the aid of the damping vibration absorber, the difficult problem that existing damping vibration absorbers with magnetic liquid cannot be applied to engineering practice due to diversified structural problems can be successfully solved. The damping vibration absorber comprises a lower magnetism-isolating outer sleeve (1), a lower magnetic inner sleeve (2), an upper magnetism-isolating outer sleeve (3), an upper magnetic inner sleeve (4), an end cover (5), a first permanent magnet (6), the magnetic liquid (7), an upper spherical shell (8), a lower spherical shell (9), a counterweight (10), a second permanent magnet (11) and a shell (12). The damping vibration absorber has the advantages that non-magnetic mass blocks formed by the upper spherical shell, the lower spherical shell and the counterweight (10) can move in a cavity when the external vibrates, the magnetic liquid flows in the shell (12), accordingly, energy can be absorbed, frequency difference between the mass blocks and the shell (12) can be formed by first-order buoyancy generated by the first permanent magnet (6) and the second permanent magnet (11) inside the magnetic liquid, and magnetic flux leakage of the permanent magnets can be effectively prevented by the upper magnetism-isolating cover and the lower magnetism-isolating cover.