This study aims to determine the effect of learning models and learning independence of critical thinking skills. This research was conducted in class V State Primary School. The research design used a 2-way analysis of variance (ANOVA). The results of this research are (1) The difference of critical thinking ability of students who learn to use the cooperative model of Numbered Heads Together type with students who learn to use expository model. (2) The existence of interaction between learning model and students learning independence on students critical thinking ability (3) Critical thinking ability among students who learn by using cooperative model of Numbered Heads Together type which has higher learning independence is higher than the students who learn by using an expository model that has a high learning independence. (4) The ability to think critically among students who have learned by using the cooperative model of Numbered Heads Together type with low learning independence is higher than students who learn by using an expository model that has low learning independence. (5) The ability to think critically among students who learn by using model co-operative type Numbered Heads Together who have higher learning independence is higher than the students who learn by using expository models that have low learning independence. (6) The ability to think critically among students who are learning by using the cooperative model of Numbered Heads Together type who has low learning independence is lower than students who learn by using expository models that have high learning independence.