The ability to interpret graphs is a very important ability and the main key in understanding kinematics and advanced physics materials. However, the ability to interpret graphs of prospective teachers is still low. The purpose of this study is to test the ability to read and interpret the kinematic graphs of prospective teachers using polytomous rasch model analysis. The instrument consists of four essay questions presenting a kinematic graph. The test was given to 20 prospective teachers, consisting of 14 females and 6 males. The method used is quantitative descriptive survey with analysis using the rasch model with polytomous data. The results obtained were the reliability value of 0.58 in the weak category, the level of difficulty for 3 questions in the difficult category and one question in the easy category, the distinguishing power was very good for all the questions. The overall ability to read and interpret kinematics graphs is quite good. In conclusion, the instruments and analysis used can test the ability to interpret the prospective teacher's kinematics graph.