In this work, we numerically investigate the transport properties of two-dimensional square lattice patterns built from a telomeric DNA sequence, using an effective tight-binding model for the electronic structure, while the current is obtained within a Green’s function framework. We show that the self-assembled DNA structures based on telomeric DNA strands have current-voltage (I-V) characteristics, which make the system eligible for nanoelectronic applications.This paper shows a research on the transport properties of two-dimensional square lattice patterns built from a telomeric DNA sequence. A tight-binding model, and the recursive Green’s function method were used. It is showed that the self-assembled DNA structures based on telomeric DNA strands have current-voltage (I-V) characteristics, with robust plateau structures that favor the scrutiny of DNA-lead, as well as interference effects. An increase of the current, dependent on the distance between the crosses in the self-assembled square lattice structures, is observed, which makes the system eligible for nanoelectronic applications.