The arrangements of metal nanoparticles into spatially ordered structures is still challenging, but DNA-based nanostructures have proven to be feasible building blocks in directing the higher-ordered arrangements of nanoparticles. However, an additional DNA functionalization of the particles is often required to link them to the DNA frames. Herein, we show that ordered 3D metal nanoparticle superlattices could be formed also by plainly employing electrostatic interactions between particles and DNA nanostructures. By utilizing the negatively charged DNA origami surface, we were able to assemble 6-helix bundle DNA origami and cationic gold nanoparticles (AuNPs) into well-ordered 3D tetragonal superlattices. Further, the results reveal that shape and charge complementarity between the building blocks are crucial parameters for lattice formation. Our method is not limited to only AuNPs and the origami shapes presented here, and could therefore be used in construction of a variety of functional materials.