The present invention discloses a clamping and connection mechanism for a membrane boundary. The mechanism comprises a plurality of clamping assemblies holding a membrane boundary, wherein the clamping assemblies each comprises a primary clamping piece and a secondary clamping piece. The secondary clamping piece is arranged on the primary clamping piece, and the membrane boundary is clamped between the secondary clamping piece and the primary clamping piece. A side, away from the membrane, of the primary clamping piece is connected to a fixing frame around the membrane. The primary clamping pieces of neighboring clamping assemblies may be connected and tension by a forced rope with adjustable tension. According to the clamping and connection mechanism for a membrane boundary provided by the present invention, the tension of the catenary boundary of the membrane can be adjusted by the forced rope, thereby solving the problem that conventional clamping devices of this type for a membrane structure cannot be quantitatively adjusted.