We introduce a novel 2D graphical representation of DNA sequences based on the pairs of the neighboring nucleotides (PNNs). Then we get the PNNs' distributions and obtain a y-M. The construction of the PNN-curve has some important advantages (1) It avoids loss of information and the PNN-curve standing for DNA sequences does not overlap or intersect with itself. (2) The novel 2D representation is more sensitive. The utility of this method can be illustrated by the examination of similarities/dissimilarities among the coding sequences of the first exon of beta-globin gene of eleven different species in Table 2.