The invention relates to a composite anion-exchange membrane, its preparation and application. The membrane comprises a halomethylation polymer, an ion exchange-based precursor, a double-effect cross-linking agent and a reinforcing material. In the preparation process, the reinforcing material molecular chain is linked with the conductive ionic polymer molecular chain by the double-effect cross-linking agent to form a mandatory interpenetrating polymer network to avoid macroscopic phase separation. The preparation method disclosed herein is easy to operate and has the advantages of low cost and no damage to the membrane strength in the implementation process, the obtained anionic membrane has stable interface and mechanical stability, and the conductivity and swelling resistance of the membrane can be simultaneously guaranteed.