The use of mineral admixture as partial replacement for portland cement in concrete is an effective means for controlling expansion due to (alkali silica reaction, ASR). However, reliable standard method for testing the effectiveness of mineral admixtures to prevent ASR has not been established. In order to develop a reliable method for testing the effectiveness of fly ash in controlling ASR, the suppression effect of low calcium fly ash on the ASR expansion occurred in siliceous gravel, zeolite perlite and silica glass at the curing conditions of 40℃, 60℃ and 80℃ were studied respectively based on Chinese accelerated mortar bar method. The effects of the reactivity of aggregate and curing temperatures on the effectiveness of fly ash on suppressing ASR expansion and the technique for assessing the effectiveness of fly ash and other mineral admixtures are discussed. Results show that the suppressing effect of fly ash on ASR expansion is strongly depended on the alkali reactivity of aggregate and conserving temperature. The higher the alkali reactivity and curing tempe rature are, the lower the suppressing effect is to get. The dependence of the suppressing effect of fly ash on alkali reactivity and conserving temperature is attributed to the different ASR behaviors for various aggregates and at various temperatures. The suppressing effect of fly ash on certain reactive aggregate at certain conserving conditions can not be simply extended to other aggregates and conditions. Methods for testing the effectiveness of fly ash and other mineral admixtures against ASR should be established according to application objectives. Correlation of result based on assessing method and long term performance of concrete needs further study.