We use an Artificial Neural Network (ANN) to derive the orbital parameters of spectroscopic binary stars. Using measured radial velocity data of six double-lined spectroscopic binary systems V2082 Cyg, V918 Her, BW Dra, V2357 Oph, YZ Cas and V380 Cygni, we find corresponding orbital and spectroscopic elements. Our numerical results are in good agreement with those obtained by others using more traditional methods.