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The purpose of this study was to find out: (1) Differences in mathematical problem solving ability of students who are given guided discovery learning and cooperative learning STAD type, (2) Interactions between learning models (guided discovery learning and cooperative learning STAD type) with students gender on mathematical problem solving ability. The population in this study was all eighth grade students of SMP Negeri 13 Medan academic year 2018/2019. The sample was taken randomly in two selected classes which were class VIII-1 as experimental class-1 and class VIII-2 as experimental class-2, each amounting to 32 students. The research instrument used was a test of problem solving ability. Data was analyzed with two-way Anova. The results of this study show that (1) There are differences in mathematical problem solving abilities between students who are given with guided discovery learning and those who are given with cooperative learning STAD type, (2) There is interaction between learning models (guided discovery learning and cooperative learning STAD type) with students gender on students mathematical problem solving ability.