The problems of scattering of out-plane line source load and dynamic analysis of a shallow-embedded circular lining structure in the field of linearly elastic dynamic mechanics are studied in this paper. The methods of Green's Function are used here. We construct a suitable Green's function, which is an essential solution to the displacement field for the elastic space possessing shallow-embedded circular lining structure while bearing out-plane harmonic line source load at arbitrary point. The scattering wave which satisfies the condition of stress free on the ground surface of half-space containing a shallow-embedded circular lining structure impacted by incident steady SH-wave is constructed based on the symmetry of SH-wave scattering and the method of multi-polar coordinates system. Then, we take advantage of the boundary conditions around the lining structure to solve the problem. Therefore, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations. Finally, with two different dimensionless parameters, numerical examples are provided to show the influence of wave number, shear modulus, thickness and distance between the center of the circular lining structure and ground surface upon the dynamic stress concentration by out-plane line source load.