<p>In this paper, we consider a generalized Burgers–Huxley equation with memory subject to nonhomogeneous Dirichlet boundary conditions on a part of the boundary. We construct a linear, finite-dimensional Dirichlet boundary feedback controller aimed at stabilizing the stationary solution corresponding to the homogeneous boundary condition. This controller is designed using eigenfunctions of the Laplace operator. We first analyze the stabilization of a linear system using the proposed feedback law under a linearly independence assumption on normal derivatives of the eigenfunction of the Laplace operator. Subsequently, we demonstrate that the same controller also stabilizes the full nonlinear system by applying the Banach fixed point theorem. Next, we design a similar controller dropping the linear independence assumption and carry out a corresponding stabilization analysis. A numerical example is presented to demonstrate the effectiveness of the boundary stabilization. Finally, we provide a remark on the stabilization of the generalized Burgers–Huxley equation with memory around the zero solution under nonhomogeneous Dirichlet boundary conditions.</p>