This study performs finite Element stress analysis of flange connections at noise barriers with circular steel tubes, which have a light weight. Subsequent numerical simulation results for three types of models (standard, double, and standard models strengthen by ribs) present that the applied connections for target noise barriers constructed show suitable structural performance. In this paper, the existing finite element stress analysis using the ABAQUS program is further extended to study the local stress distribution of the noise barriers with new type circular steel tubes. The numerical results for various parameters are verified by comparing different types with stresses occurred in the noise barrier from the numerical simulation.