This research is motivated by the low ability to solve math story problems of elementary students. This is because students are less used to solving stories. The formulation of this research problem is "is there any improvement in the ability to solve the problem of mathematics story of students who get learning model of LAPS-H?" And "is there any difference to the ability to solve the math story problem between students who get LAPS-H model and students who get conventional learning? ". The purpose of this research is to know the improvement of the ability to solve the problem of the mathematics story of the students who get the LAPS-H model and the different ability to solve the math story problem between the students who get the LAPS-H model with the students who get the conventional learning. Model LAPS-H with stages to understand problems, plans, solutions and check back. The ability to solve story problems is the ability of students to solve problems related to everyday life. The research method used is quasi experiment with non-equivalent control group design design and purposive sampling technique. The sample in this research is class IV-B SDN 106 Aji Tunggal Cijambe as experimental class and IV-A SDN Suka Asih as control class with the amount of each 30 students. The results showed that the ability to solve the problem of mathematics stories of students who obtained the LAPS-H model has increased. It is shown from the significance value of the one sample test of 0.000 with the average normalized gain data of 0.69 which has a moderate interpretation. In addition, the ability to solve the problem of mathematics between students who obtained the LAPS-H model and students who received conventional learning is different from the significance of the two sample test results of 0.011. It can be concluded that there is an increase and there are differences in the ability to solve mathematical story problems between students who obtained the LAPS-H model and students who received conventional learning. Thus, the LAPS-H model can be used as an alternative learning to improve the ability to solve math story problems of elementary students.