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This research aimed to determine and classify the level of student understanding in solving geometry problems with taxonomy of SOLO (Structure of Observed Learning Outcomes). The material been examined was the geometry of planes and spaces. This research was a type of qualitative research conducted by the method of think loud. The research results were: 55% of students had an understanding that was at a multi-structural level with indicators that have been able to use some concepts that was correct but not yet right in terms of linking concepts and 39% of students have been able to use a correct concept (uni-structural level). Then about 5% of students have an understanding at the relational level that have been able to use some correct concepts and connect them, whereas 1% of students have a level of pre-structural understanding. Based on the research results, it can be concluded that levels of student understanding in solving geometry problems are various from pre-structural level until relational level