Study of geological reservoirs and is a major issue for a rational and sustainable exploitation of underground resources (water, oil, gas ...). In order to estimate and take advantage of those resources, it is necessary to assess the intrinsic properties of the reservoir, such as their porosity and permeability. The latter is dependent of bedrock heterogeneity due to a variable sedimentation (e.g sedimentary lamination, cross-bedded sediments, matrix heterogeneities) or to the presence of fractures or faults. Theses heterogeneities can lead to anisotropic permeability properties that have been poorly studied. To characterize this anisotropy and assess a permeability tensor, many modeling approaches have been proposed but few studies propose to assess the permeability tensor of a reservoir block size on the basis of in situ permeability variability measurements. In this study, permeability tensor is determined in homogeneous anisotropic sedimentary environment (rock samples from late Burdigalian limestones without fractures). Eight cross sections (N, NW, W, ...) were performed on these blocks (= cut in to 8 faces), permeability measurements were realized with a field minipermeameter (Tiny perm II). The dip of sedimentary layers was measured near to each sampled block in order to identify possible relationships between the permeability tensor and the depositional environment. Results show a relative consistency between sediment layer dips and orientation of permeability tensor.