Purpose: A correlational research was conducted to reveal the correlation between critical thinking and creative thinking skills on students' cognitive learning results in inquiry learning strategy and to reveal the contribution of critical thinking skills and creative thinking skills to students' cognitive learning results. Method: The population of this research was students of Biology Education Study Program in the Education and Teacher Training Faculty of Jambi University, Indonesia, in the semester of 2017/2018 academic year. The instrument used was an essay test to measure students' critical and creative thinking skills, and their cognitive learning results. The data were analyzed using multiple regression analysis with the assistance of SPSS version 16 for Windows program at 5% level. Findings: The results showed that: (1) there was a significant correlation between critical thinking skills and creative thinking skills on cognitive learning results; (2) the contribution of critical thinking skills and creative thinking skills simultaneously to cognitive learning results was 72.80%; and (3) the effective contribution of creative and critical thinking skills to cognitive learning results was 64.91% and 7.89% respectively. Implications for Research and Practice: Lecturers can consider inquiry strategies as an alternative learning, especially for new students in universities to empower critical thinking skills and creative thinking skills, based on research results, that may have a big contribution to cognitive learning results.