Strength after 28 days is considered a long time, mainly if errors occur during design or implementation, which lead to problems that are difficult to avoid and thus lead to economic losses and wasted energy. Therefore, researchers conducted numerous investigations using various methods to determine the compressive strength of concrete at an early stage and to ensure and control concrete quality. In the current research, many studies that relied on warm water and boiling water curing methods to predict compressive strength will be presented, along with an explanation of the most important results obtained and some conclusions that will be important for those who will work in this field and investigate the strength of concrete with these methods. In general, curing by the boiling water method gives higher strength than the warm water method, and it also provides higher compressive strength values compared to concrete that was treated by immersion in water at the same age.