The purposes of this research are: (1) description of reading skill the students who join in CIRC learning model, Jigsaw learning model, and STAD learning model; (2) finding out the effective of learning model cooperative toward a reading comprehensions between the students who have high language logic and low language logic; and (3) finding out the interaction between the use of the learning model and the language logic in influencing the reading comprehensions. The try out group was given a special treatment of respectively cooperative learning model: CIRC, Jigsaw, and STAD. The try out group was divided into two categories, students who had high language logic and those who had low language logic. The population of the study was the fifth grade elementary school student in Central Java. Students taken by stratified random sampling technique. After the data was collected, they were presented in form of tables and graphs, which were then analyzed with variant analysis. There are three primary in the study. "First," the reading skill of the students who joined in CIRC learning model is better than those who joined in Jigsaw or STAD model. "Second," the reading skill of the students who have high language logic is better than low language logic. "Third," there are interactions between the use of learning model and the language logic in influencing reading comprehensions.