<p>In this paper, we are concerned with the dynamic boundary condition imposed on the Allen–Cahn equation. Allen–Cahn equation with dynamic boundary condition inherits the energy dissipation law and the maximum bound principle (MBP), however it is still challenging on design the high-order MBP preserving schemes for the dynamic boundary problems. Using the mass lumping finite element method for the spatial discretization, we develop the first- and second-order stabilized exponential time differencing schemes for the time integration of the Allen–Cahn equation with dynamic boundary condition, which are proven to unconditionally preserve the MBP and energy stability in the discrete setting. Several numerical examples are performed to verify the theoretical results and showcase the applicability of the proposed schemes.</p>