Abstract: A description is given of the application of the finite element method to solve the two-dimensional neutrally stratified surface-layer flow problems over terrain.The velocity components and the turbulent viscosity are approximated over each element by quadratic interpolation functions,while linear interpolation is used for the pressure.The mix-length scale of turbulence is specified algebraically.The problem is then reduced to the solution of a set of nonlinear algebraic equations,and the frontal method of solution is adopted.Illustrative examples are wind flow over escarpment,triangle hill and embankment.