Architected structures and metamaterials have attracted the attention of scientists and engineers due to the contrast in behavior compared to the base material they are made from. This interest within the scientific and engineering community has lead to the use of computational tools to accelerate the design, optimization, and discovery of architected structures and metamaterials. A computational tool that has gained popularity in recent years is artificial intelligence (AI). There are several AI algorithms and as many have been used in the field of architected structures and metamaterials. AI has been used for different objectives and with different degrees of success. Then, in this review we identify the different AI used to study architected structures and metamaterials, identify the purpose of using the AI, and discuss their advantages and disadvantages. Additionally, trends in the usage of AI and particular architected structures and metamaterials are identified. Finally, perspectives regarding new directions and areas of opportunity for the use of AI in the study of architected structures and metamaterials are presented.