The main wings of a T-50 supersonic advanced trainer (T-50) are assembled on the fuselage using an automated guided vehicle (AGV). An AGV carrying a main wing approaches the fuselage and aligns the concentricity and horizontality of each bolt hole. Therefore, quantitatively measured concentricity and horizontality has to be fed back to the AGV in a short time span to ensure accurate alignment. Further, no electrical sensing devices are allowed in the fuselage of a T-50 during assembly because of its anti-electric shock environment. To satisfy these demands, a coincidence measurement system of concentricity and horizontality using a polarizing laser is proposed. Optical components without any electrical circuits are packaged in a small cylindrical container and positioned in a small bolt hole on the fuselage. A polarizing laser, beam splitters, analyzers, and electrical circuits are positioned on the AGV with the main wing. By analyzing the reflected polarizing laser light, concentricity and horizontality are measured quantitatively with high sensitivities, $14{mu}m$ and $0.007^{circ}$, respectively. Further, the feedback rate to the AGV is 3Hz and above.