In this paper, the novel topology of DNA knots is discussed on the basis of the Seifert construction in knot theory. Our result shows that T4k-DNA knots possess the point symmetry group S1 and T2k+1-DNA knots possess the point symmetry group C1-Hence, C, represents the most chiral and S1 the least achiral We say that a structure with C1 symmetry is topologically chiral, wile a structure with S1 Symmetry is shown to have the properties of a topological rubber glove, and that the orientability of the Seifert construction is primary tool for the left-right classification of molecular knots.