In this paper, we propose a descriptor for Brachiopods classification by using a combination between curvature and Fourier descriptors. The curvature properties provide an apparently powerful cue to the underlying structure of the curve and captures completely the structure of planar curve. In addition, it is stable and complete. Fourier descriptors are powerful features for the recognition of two-dimensional connected shapes. We used the Fourier descriptors proposed by Ghorbel, this set of invariants is also stable and complete. Based on this observation, important features can be extracted. Experiments show that the proposed descriptor is fast to compute and it achieves high recognition rates compared to Curvature Scale Space descriptor.