<p>The extensive applications of very large floating structures and breakwaters in ocean engineering grabbed attention toward the mathematical solution of structure-coupled gravity wave scattering by different types of barriers. While major research relied on the numerical techniques, analytical solutions were more desirable in the deep water case. Here, the problem of flexural or membrane-coupled gravity wave scattering by submerged flexible porous barriers in deep water is analytically studied. By allowing incident waves from either side of the barrier, and using the continuity of horizontal velocity, the half-plane problem is reduced to a quarter-plane problem. Using integral relations between the solution potentials and some auxiliary potentials, the higher order boundary conditions are simplified. The problem is then converted to that of solving a system of linear equations with the help of some standard integral equations. Auxiliary potentials are solved, and with the aid of them, the explicit formulae for solution potentials are obtained. Numerical results for the reflection coefficient and total energy are also presented. The effect of porosity and other barrier parameters are examined. It is observed that complete transmission occurs for long waves irrespective of the barrier type, and sharp reflection peaks appeared more for porous membrane barriers than porous elastic plates. Stiffer barriers and thicker ice on the surface enhanced the reflection. The porosity reduced the reflection as well as increased the energy dissipation.</p>