TDP-43 is an important pathological protein that aggregates in the diseased neuronal cells and is linked to various neurodegenerative disorders. In normal cells, TDP-43 is primarily an RNA-binding protein; however, how the dimeric TDP-43 binds RNA via its two RNA recognition motifs, RRM1 and RRM2, is not clear. Here we report the crystal structure of human TDP-43 RRM1 in complex with a single-stranded DNA showing that RRM1 binds the nucleic acid extensively not only by the conserved β-sheet residues but also by the loop residues. Mutational and biochemical assays further reveal that both RRMs in TDP-43 dimers participate in binding of UG-rich RNA or TG-rich DNA with RRM1 playing a dominant role and RRM2 playing a supporting role. Moreover, RRM1 of the amyotrophic lateral sclerosis-linked mutant D169G binds DNA as efficiently as the wild type; nevertheless, it is more resistant to thermal denaturation, suggesting that the resistance to degradation is likely linked to TDP-43 proteinopathies. Taken together all the data, we suggest a model showing that the two RRMs in each protomer of TDP-43 homodimer work together in RNA binding and thus the dimeric TDP-43 recognizes long clusters of UG-rich RNA to achieve high affinity and specificity.