This research is a descriptive study that aims to describe the construction of student’s proof on logarithmic material. Proof construction is the ability to construct direct or indirect proof using information provided such as definitions, principles, theorems, and assumptions in a logical and detailed manner. The research subjects were 40 students of the X-grade students of MIA 6 in Palembang 10 Public High School. The learning process is carried out with direct learning steps. The data collection technique used is a written test consisting of 3 questions. The data obtained will be corrected, grouped and analysed using evaluation of proof consisting of five categories to identify students’ understanding of the construction of proof for each questions. The results of the study stated that the construction of proof by students on logarithmic material in the X-grade students of MIA 6 in Palembang 10 Public High School was already in the K1 category. This is due students are able to provide valid general arguments and use them to construction of proof.