The fine fraction is defined as the sum of silt and clay fraction content. Depending on the standard, it may be a fraction smaller than 0.063 mm (ISO), 0.075 mm (ASTM), or 0.05 mm (former Polish classification). The fine fraction content is a parameter used to characterize example tailings or dredged offshore material. Potential for a power generation system using renewable energy, including wind and solar at tailings dams, is being considered as part of the sustainable development of abandoned mine areas. Therefore, recognizing the behavior of tailings as well as dredged materials is a very important engineering issue. As is commonly known, particle size distribution, next to the effective stress, void ratio, and stress history (for cohesive soils), is the basic factor influencing the mechanical behavior of soils. The quality of contact between grains affects the soil's ability to transfer stress. The proportions of individual fractions allow us to name the soil, but above all they affect the strength and deformation parameters of soil. This article presents the results of laboratory tests for six groups of soils with different fines content (from 12 to 99%). The soil was reconstructed in the laboratory, in sedimentation tanks. The samples were tested in a triaxial apparatus and oedometer. Triaxial tests were performed with multi-stage anisotropic consolidation and shear in undrained conditions. Based on the obtained test results, the influence of the fine fraction content on the slope of the compressibility curves of the tested soils was analyzed.