This study presents the numerical comparative analysis of the point connector and its modification used for fixation of glass façades in terms of the obtained values of stresses and displacements. Since the most popular components of glass façades are square, rectangular or triangular, it was adopted that the load to the connectors is transferred from a rectangular façade component. Furthermore, the dynamic effect of wind gusts on façades was also assumed, with both wind pressure and wind suction. Adoption of the rectangular component of the glass façade leads to an unfavourable load distribution observed in the location of the connection, with the connector additionally twisted with respect to its own symmetry axis. ADINA software, based entirely on the finite elements method, was used for numerical analysis. The examinations allowed for evaluation of how the modifications introduced into the referential model reduce values of the obtained stresses and displacements.