Hierarchical assembly of programmable DNA frameworks─such as DNA origami─paves the way for versatile nanometer-precise parallel nanopatterning up to macroscopic scales. As of now, the rapid evolution of the DNA nanostructure design techniques and the accessibility of these methods provide a feasible platform for building highly ordered DNA-based assemblies for various purposes. So far, a plethora of different building blocks based on DNA tiles and DNA origami have been introduced, but the dynamics of the large-scale lattice assembly of such modules is still poorly understood. Here, we focus on the dynamics of two-dimensional surface-assisted DNA origami lattice assembly at mica and lipid substrates and the techniques for prospective three-dimensional assemblies, and finally, we summarize the potential applications of such systems.