In this study, expedite curing period at curing temperature being 40, 60, 80℃ similar to strength of standard 28days curing temperature to confirm methods and applicability of early estimation of strength by warm water curing. Also, checked the effect related to different conditions such as using various kinds of material, differentiating quantity of material, with or without fiber mixing at same rate of water-bonding material. Existing method proposed by KS and JIS to estimate strength of 28 days standard curing temperature curing for 7days at 40℃ is not relevant because it takes so long to estimate strength. Already known method of estimating strength of 28days standard curing temperature curing for 3days in 60℃ warm water, too, is not relevant to apply 3day cycle of super high-rise. It also had the problem which didn’t consider fiber mixed concrete. According to the result of experiment, traits and rate of strength revelation were different relating to the kinds and quantity of bonding material. Strength value of mix without fiber was higher than that of mix with fiber, but without any relation to that, over 96% of similar confidence level with strength of 28 days standard curing temperature was shown in 7 days at 40℃, 3 days at 60℃, 2days at 80℃. Confidence level of estimation method of 2 days at 80℃ was similar to those of estimation methods of 4 days at 40℃, 3 days at 60℃, so it(2 days at 80℃) is regarded as the most relevant method because it’s possible to estimate strength fastly. As a result it can be said that early quality control of recently increasing super high-rise may be possible through estimation method of 2 days at 80℃.