Auxetic structures exhibiting unusual mechanical properties from conventional materials are used in many industries and applications due to their high strength, energy absorption performance, high deformation resistance, impact resistance and flexibility. In order to further improve their mechanical properties, it is very important to investigate the deformation behavior and energy absorption characteristics of auxetic structures with different design parameters. In this context, the energy absorption performance of re-entrant auxetic structures with different design parameters i.e., strut orientation, strut angle, and strut thickness was investigated under axial loading in this study. The auxetic structures were produced by the fused deposition modeling method and the energy absorption performances of the structures were evaluated using various crashworthiness indicators such as energy absorption (EA), specific energy absorption (SEA), mean crash force (MCF), peak crash force (PCF) and crash force efficiency (CFE). Analysis of variance (ANOVA) was also implemented to determine the influence of design parameters on MCF, SEA and CFE. The results showed that the strut thickness is the highest influencing parameter on the values for all chosen energy absorption criteria. In particular, the contribution ratios of strut thickness, strut angle and strut orientation on the values of SEA are74.99%, 11.45% and 3.25%, respectively. These values are 63.74%, 7.22% and 0.92% for CFE values, respectively.