In the present study, we present a novel shape memory alloy metallic yielding dampers for energy dissipation and damage control in the steel structural members, composed of an auxetic main member and a negative Poisson member that absorbs energy by plastic deformation mechanism. Using the ABAQUS software, a set of quasi-static nonlinear analyses were performed on the metallic yielding damper with different geometric parameters in order to predict its energy absorption capacity under direct traction loading. The superelastic behavior of the shape memory alloys is defined by using the Brinson's structural relationships with the UMAT subroutine. It has been verified through a finite element analysis that the proposed element is both highly ductile and capable of dissipating high amounts of energy. In the optimal state, the specific absorbed energy and the ductility of the proposed asbestos damper made of memory alloy are 39.2 J/kg and 44, respectively, which are about 114% and 81% higher than the corresponding steel dampers. Thus, this new damper is capable of consuming quite a lot of input energy with its unique ductile behavior, while at the same time being able to replace quite a few existing metal dampers due to its simplicity and high performance..