As a breakthrough in the field of artificial intelligence, large models play a crucial role in the new round of global technological revolution and industrial transformation. Intelligent optimization algorithms have greatly promoted the steady development of social economy by virtue of their advantages in reducing cost and upgrading efficiency. The integration of both is expected to inject fresh blood into handling scientific research and engineering practice with the trait of being complex and multidisciplinary. This article reviews the empowerment between foundational models and intelligent optimization algorithms. First, large models and intelligent optimization algorithms are profiled from two aspects: definition and classification. Then, the latest research progress is combed from two routes: one is empowering large models with intelligent optimization algorithms, the other is empowering intelligent optimization algorithms with large models. Wherein, the former revolves around surrogate-assisted optimization, automatic optimization modeling, automatic algorithm designing and generating, automatic algorithm analyzing and enhancing, and industry practices, while the latter's report is according to parameter optimization, prompt optimization, and joint optimization, the developing trend for both of which is envisioned from the perspectives of general basics and specific applications. The article concludes with prospecting the integration of foundation models and intelligent optimization algorithms.