Lattice structures manufactured by Laser Powder Bed Fusion (LPBF) show a high potential for a wide range of applications. But the lack of experience in the reliability regarding defects and precision currently impedes their use. Technological limits are the complex shape of the exploitable Additive Manufacturing (AM) parameter space, the dependency of quality criterions on multiple input parameters and the question which precision can reliably be achieved for lattice structures within a certain optimized parameter window. To handle the first two issues, a model based, two step approach is developed and evaluated on different LPBF machines and with different metal alloys. The achievable precision and repeatability of the manufacturing process under constant conditions is analysed by determining the geometrical precision of about 600 strut-like specimens out of titanium alloy Ti6Al4V. In particular, the manufactured strut thickness can be mapped very well by two process parameters with the model-based approach for all the materials and machines analysed. A generalisable system emerges in terms of correlation between lattice strut diameters and LPBF build parameters. The geometric scatter on the specimens appears to be constant for the case investigated and hardly differs between individual build jobs.