The problem in the present study was the low level of comprehension mathematic concept students. The alternative learningcan be applied to improve the comprehension mathematic concept students is a cooperative model type of MeaningfulInstructional Design (MID). The purpose of research to know the effect of type Cooperative MID models to increase of thecomprehension mathematic concept students and know a student response learning mathematics model of type CooperativeMID. The method in this research is quasi-experimental, with pretest-posttest control group design. The experiment wasconducted in SMA Negeri 1 Ciparay. The population in this study were all students of class X SMA Negeri 1 Ciparay.The samples are students of class X MIPA as an experimental class 1 and class 2 X MIPA as the control class.Experimental class treatment model MID Cooperative type and control class treatment with models Problem-BasedLearning. The instrument were a test mathematic concepts and questionnaires. The study concluded of comprehension thatthe model of Cooperative type MID give a positive effect to increase of comprehension mathematic concepts students. Studentgive a positive response to the study of mathematics by using models of type Cooperative MID.