Abstract: Higher-Order Thinking Skill (HOTS) is a crucial issue these days to prepare the students for the future. Indeed, English as an international language plays an important role. The purpose of this study was to find out the result of the application of NHT and Socrates strategies to Promote Higher Order Thinking skills for the students with high and low anxieties. This research is quantitative, where the findings are presented in the graphic or diagram with the calculation of results. The research indicators and scoring rubric are needed to conduct this research. The rubrics were to measure students critical thinking and speaking in every meeting. The questionnaire was also needed to measure the student anxiety. The result shows that the NHT and Socrates strategies affect the students with low anxiety to promote HOTS. Moreover, the NHT strategy is more effective to promote HOTS in speaking for students with high and low anxieties.