In recent years, there has been a growing need to create innovative metamaterials and structures with precise mechanical properties. One of the possibilities are graded multilayered lattices (GML) [1]. GMLs can be designed and created in various ways, e.g. by using additive manufacturing technology. Interesting challenges are opened by the design of lattices based on tensegrity modules [2]. Tensegrity cells themselves exhibit infinitesimal deformation modes stabilized by self-stress. Mechanical properties of such cells can be changed through geometry, parent material properties or self-stress level. This paper presents the concept of adaptable gradation of mechanical properties in tensegrity lattices by controlling the level of self-stress in cells. The mechanical properties (Young’s moduli, shear moduli, Poisson’s ratios) of tensegrity single cells, super-cells or cell layers are estimated using the continuum model [2], which allows us to determine the components of the equivalent elasticity tensor. The authors have performed parametric analyses focusing in particular on: tensegrity lattices in 2D and 3D spaces, based on various typical tensegrity modules; cells of various heights with constant width and depth; lattices with various directions of gradation; gradation of mechanical properties using self-stress. Particular attention has been paid to possible soft/stiff properties of layers or subareas of tensegrity lattices, in accordance with the principles of extremal materials [2]. Funding: This research was funded in whole by National Science Centre, Poland, grant no. 2022/47/D/ST8/00466. For the purpose of Open Access, the author has applied a CC-BY public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission. REFERENCES [1] S. Somiya. Handbook of Advanced Ceramics. Materials, Applications, Processing, and Properties. A two-scale model of granular materials. Academic Press, 2013. [2] A. Al Sabouni-Zawadzka. High Performance Tensegrity-Inspired Metamaterials and Structures. CRC Press, Taylor and Francis Group, 2023.