We report structural and dynamical aspects of DNAs from various sources including synthetic oligonucleotides in bulk buffer and as a complex with histonel (H1). High-resolution transmission electron microscopic (HRTEM) studies reveal the structural change of the DNAs upon complexation with H1 leading to formation of compact-globular and hollow-toroidal particles. In order to explore the functionality of ligand binding of the DNAs and their complexes with H1, we have used two biologically common fluorescent probes Hoechst 33258 (H33258) and Ethidiurn (EB) as model ligands. Picosecond resolved fluorescence and polarization gated anisotropy studies examined that the minor groove binding of H33258 to the genomic DNA-H1 complex remains almost unaltered. However, the intercalative interaction of EB with the DNA in the complex is severely perturbed compared to that with the DNA in bulk buffer. Time-dependent solvochromic effect of the probe H33258 further elucidates the dynamical solvation, which is reflective of the overall environmental relaxation of the DNAs upon condensation by H1. We have also performed circular dichroism (CD) studies on the DNAs and their complexes with H1, which reveal the change in conformation of the DNAs in the complexes. Our studies in the ligand-binding mechanisms of the DNA-H1 complex are important to understand the mechanism of drug binding to linker DNA in condensed chromatin.