The invention discloses free radial, cation and air drying tertiary curing intaglio ink. The ink comprises components in percentage by weight as follows: 10%-40% of free radical, cation and air drying tertiary curing resin, 5%-20% of radical UV (ultraviolet) curing resin, 5%-20% of a reactive diluent, 25%-45% of pigment and filler, 3%-10% of a photoinitiator, 0.1%-2% of a drying agent and 5%-15% of an auxiliary agent. The intaglio ink is prepared with the tertiary curing resin as main resin, so that the advantages of the three curing modes of UV-light free radicals, UV-light cations and air drying can be fully performed, and defects of an UV-light photocuring system and air drying are avoided. The intaglio ink solves technical problems that thick ink film drying of existing free radical UV curing gravure ink is incomplete and traditional air drying type gravure ink is prone to set-off, so that the purposes of shortening of a reprinting cycle, set-off avoidance, no solvent evaporation and the like are achieved, and the intaglio ink has the advantages of economy, energy conservation, environmental protection and the like.