Measurements of the hyperfine structures in the 6p5dlD2, 3D 1 and 3F2,3, ~ states of 135Ba and 137Ba, and isotope-shifts in several far-red transitions between the 6s 5d and 6p 5d configurations, as well as the transition 6s 2 1So-,6s6 p 3p~ at 7,911 A. have been performed using high-resolution laser spectroscopy on a collimated atomic beam of natural barium. An analysis of the magnetic-dipole interaction in the 6p 5d configuration using effective one-and two-body hyperfine operators is presented. In particular the contact interaction was studied with respect to the correlation between the two valence electrons. Effects of strong configuration interaction were found. From a King-plot analysis of the isotope shift term-and J-dependence of the field shift have been evaluated for the transitions between the 6s5d and 6p5d configurations.Relativistic Hartree-Fock (RHF) calculations have been performed of electron densities at the nucleus for six different configurations in Ba I and Ba II. The RHF calculations reproduce the experimental King-plot slopes quite well, while the absolute values, of the changes in electron density at the nucleus for the studied transitions, are found to be 9 % lower than the results derived from a muonic experiment.