Based on the complexity of alkali activating procedure of geopolymer synthesized process,grey system theory was used to study three main factors affecting compressive strength of geopolymer,including concentration of alkali activator,alkali silicon ratio and aluminum silicon ratio in mole.The grey model of GM(1,N)prognosticative equation was established between compressive strength of 28 d and COH 、M2O/SiO2 and Al2O3/SiO2 with the precision validated.The results show that concentration of alkali activator is dominant factor to geopolymer compressive strength(7dand28d).GM(1,N)model can predict the development of geopolymer compressive strength accurately.