It is well known that material properties (compressive strength, elastic modulus) of a concrete core specimen taken from a structure, which has been affected by alkali-silica reaction (ASR), are reduced significantly in comparison to those of sound concrete. On the other hand, in-situ tests of reinforcement concrete structures also affected by ASR are reported to show only insignificant reduction of rigidity and strength capacities of the structures. The difference of the affect of ASR on a core and a structure is understood to be occured due to pre-stress effect caused by ASR on the concrete. However, there are only a few reports which show a quantitative evaluation of this effect. Material properties of concrete structure affected by ASR are studied quantitatively by literature review, in-situ tests of actual foundation and model tests.