Grid shell is a new type of single layer latticed shell. Joint connections of this structrue always adopt semi-rigid joints: in-plane pin joints, out-plane rigid joints. A parametric modeling method using self-designed program is proposed in this paper. Bearing capacity of the elliptic paraboloid grid shell with semi-rigid joints is analyzed. Then, the influence of section of steel bars, rise-span ratio and initial imperfection on the bearing capacity is investigated.