It is undeniable that the concepts of artificial intelligence and blockchain are spreading at an alarming speed. These two technologies have different degrees of technical complexity and multi-dimensional business meaning. The convergence of artificial intelligence and blockchain holds the promise of creating smarter, safer, efficient, and more secure systems. However, with the surprising development of quantum technology, most existing blockchain systems are vulnerable to quantum attacks. In this paper, we accordingly propose a lattice-based blockchain infrastructure for artificial intelligence with quantum resistant, aiming at tackling the critical issue of throughput, our infrastructure based on lattice-based aggregate signature which can effectively the proportion of signatures in block size. The proposed scheme can be proved secure in random oracle model, and it is also more efficient than similar literatures. In addition, we also give the detailed description of the post-quantum blockchain transaction. Furthermore, this work can help to enrich the research on the future post-quantum blockchain (PQB).