Blast loading due to an explosion nearby may generate severe damages on the target. Therefore, engineering structures need to be designed by considering blast loads due to terrorist attacks, accidental explosions or natural disasters. Sandwich structures are good candidates for blast loading applications and core section of these panels are very important to absorb blast loads. This study focused on blast resistance of sandwich structures with lattice core designs. Sandwich panels with honeycomb cores and re-entrant and double arrowhead auxetic cores, which are common and easy to produce in comparison to other type of lattice structures, were used to investigate the impact of core design on front and back face sheet thicknesses, total absorbed energy and maximum stress under in-plane and axial loading due to an explosion. Results revealed that sandwich structures absorb more energy when loaded along axial direction than in-plane direction. According to the simulation results, double arrowhead core outperformed by showing the lowest stress, front and back face displacement and the highest total energy absorption.