We present a BDDC solver for the cardiac electro-mechanical coupling,a model describing the electrical excitation of the myocardium and its subsequent contraction.The model is constituted by a parabolic partial differential equation,coupled with the non-linear elasticity system.Our solver consists of solving the non-linear system deriving from the discretization of the finite elasticity equations with a Newton-Krylov-BDDC method.3D parallel tests on a BlueGene/Q cluster show the scalability and quasi-optimality of the proposed method.