To reach their biological target, drugs have to cross cell membranes, and understanding passive membrane permeation is therefore crucial for rational drug design. Molecular dynamics simulations offer a powerful way of studying permeation at the single molecule level, yielding detailed dynamic and thermodynamic data. Biological membranes have a very inhomogeneous character and a highly anisotropic behavior. Starting from a computer model proven to reproduce the physical properties of such a complex system, the permeation of small organic molecules across a lipid bilayer model has been studied. Free energy profiles and diffusion coefficients along the bilayer normal have been calculated for small organic molecules by means of all-atom molecular dynamics (MD) simulations constraining the compounds at chosen depths inside the membrane. These data also allow for the calculation of permeability coefficients, the results for which have been compared with experimental data. The calculated permeability coefficients are generally 1 order of magnitude larger than the equivalent experimental data, but the molecules' relative permeability coefficients are reproduced.