Additive manufacturing has paved the way to fabricate highly complex lattice structures which are widely used for weight saving and also to tamper the stiffness of the materials. This is particularly useful when considering the biomedical applications where the implant’s elastic modulus must be close to that of bone to prevent stress shielding. Although the compressive properties of different lattices have been widely studied, their tensile behaviour has gained little attention. In the current work, the tensile behaviour of different lattice structures (gyroid, diamond and Schwarz primitive) of cell sizes 0.7, 0.8 and 0.9 mm for stainless steel as the material of interest was numerically simulated to observe the fracture behaviour and predict the tensile strength of different specimens. It was observed that the Schwarz lattice, being predominately stretching-dominated, showed highly localized stress distribution in a single plane and hence failed at around ~ 5–8% elongation. Diamond and gyroid structures, on the other hand, revealed a multiplanar fracture with higher ductility of 15–20%. However, the UTS for all the lattices with different cell sizes was around 350 MPa and the variation in cell sizes has been shown to only impact the ductility of the specimen.