The current equipment support information network is threatened by the quantum computer. The current identity authentication schemes for equipment support information network cannot resistant quantum computer attack, and the efficiency of these schemes is low. The first identity authentication scheme which is secure under the quantum computer environment for equipment support information network from latticebased new cryptographic assumption is presented. Firstly, the master keys are generated from ideal lattice. Secondly, the authentication key is generated using preimage sampleable functions with the equipment identity information. Thirdly, the authentication information of the equipment is produced by nontrap door sampling technique. The scheme achieves existential unforgeability against adaptive chosen identity and message under the small integer solution assumption. Compared with the traditional schemes such as RSA and ECC authentication schemes, our scheme has higher authentication and verify efficiency at the same level of security.