The purpose of this study was to investigate the analysis on the pattern and proposition process of science inquiry problems proposed by elementary school general students and science-gifted ones. The science inquiry problems were composed of one quantitative problem and one qualitative problem. To conduct this study, general students and science-gifted ones of grade 4 and 5 in elementary schools were selected. The results of this study were as follows. In both quantitative and qualitative problem, most of the students, including all the sciencegifted students and general ones, used N-IP pattern and S2 proposition process strategy to propose inquiry problems. In the relationship between proposed problem and proposition process strategy, when using S2 strategy, N-IP problems were chiefly proposed. And when using S2, S3 strategies, more patterns of inquiry problems were generated than using any other strategies. Drawing proposition processes of inquiry problem into map, science-gifted students used much more proposition process strategies than general ones.