The present research was targeted toward examining the relationship between cultural intelligence (CQ), emo-sensory intelligence (ESQ), language learning strategies (LLS), and students’ language achievement (LA). A number of 300 EFL Iraqi students studying at the English Language Department of AL-Qadisiyah University, Iraq was selected through convenience sampling. The participants filled out the cultural intelligence questionnaire, emo-sensory intelligence scale, and the language learning strategy inventory. Students’ final scores were used as a means through which their language achievement could be gauged. The data were analyzed using Pearson Product-Moment Correlation and Structural Equation Modeling (SEM) analysis. The findings indicated a significant relationship between ESQ, CQ, learning strategies, and students’ language achievement. In addition, it was found that CQ and language learners’ strategy could directly predict the language achievement of Iraqi EFL learners. ESQ, could only predict language learners’ achievement through the mediation of language learning strategies.
