To　provide　a　seepage-stress　coupling　constitutive　model　that　can　directly　describe　the　seepage-stress　coupling　relationship,　a　series　of　one-dimensional　seepage-stress　coupling　tests　on　two　kinds　of　soft　rock　(argillaceous　siltstone　and　brown　mudstone)　were　performed　by　using　an　MTS-815.02　tri-axial　rock　mechanics　test　system,　with　which　the　stress-strain　curves　according　to　the　seepage　variation　were　obtained.　Based　on　the　experimental　results　and　by　employing　Hooke＇s　law,　the　formulation　of　the　coefficient　of　strain-dependent　permeability　was　presented　and　introduced　to　establish　a　coupling　model.　In　addition,　the　mathematical　expression　and　the　incremental　formulation　for　coupling　model　were　advanced,　in　which　five　parameters　that　can　be　respectively　determined　by　using　the　experimental　results　were　included.　The　calculated　results　show　that　the　proposed　coupling　model　is　capable　of　simulating　the　stress-strain　relationship　with　considering　the　seepage-stress　coupling　in　the　nonlinear　elastic　stage　of　two　kinds　of　soft　rock.