Summary: The singularly perturbed boundary-value problem with convection-diffusion-reaction equation is suggested to be solved using a finite element method (FEM) with piecewise exponential approximations. The main properties of piecewise exponential approximations are investigated. The FEM system of linear equations for the approximations is constructed from the Galerkin method. Numerical results of estimating the convergence of the scheme are presented. The advantages of the approach using exponential approximations over linear ones are analyzed.