This study investigates the microstructural and mechanical properties of lattice structures made of two high-alloy austenitic CrMnNi steels with TRIP (TRansformation-Induced Plasticity) and TWIP (TWinning-Induced-Plasticity) effect. For this purpose, lattice structures consisting of a f2ccz unit cell type were produced by additive manufacturing using the electron beam powder bed fusion (EB-PBF) technique. It will be shown that by specifically changing the alloy composition of the steels, during the EB-PBF process a transition from a columnar to a globulitic microstructure, as already shown by Günther et al. and Seleznev et al. on bulk material, also occurs in the thin struts of the lattice structures. This work also demonstrates the influence of a modified part geometry on the microstructure. So, the texture of lattice structures made of steel, that tends to a pronounced columnar grain growth and a strong preferential orientation of the grains in BD after EB-PBF, is interrupted in the thin lattice struts.The mechanical characterisation of the lattice structures is carried out under Out-of-plane and In-plane quasi-static compression tests. The occurrence of the TRIP and TWIP effect in the lattice structures is described in dependence of the chemical composition of the steels and the impact of these effects on the mechanical properties of the lattice structures will be discussed. Additionally, local strain distribution in the struts is analysed using Digital Image Correlation (DIC) and Kernal average misorentaion (KAM). The results revealed that lattice structures with a pronounced TRIP effect achieve higher strength and energy absorption capacity under Out-of-plane compressive load than lattices with TWIP effect. In contrast, the TRIP/TWIP effect has no influence on the mechanical behaviour of the lattice structures tested here under In-Plane compressive load.