We investigate the Coulomb breakup of the two-neutron halo nucleus 6 He by extending the framework of the finite range post form distorted wave Born approximation theory introduced earlier for the description of the breakup of one-neutron halo nuclei. The model can use the realistic three-body wave function for the 6 He ground state. Calculations have been performed for energy, total and parallel momentum distributions of 4 He fragment. The two-body 4 He-neutron and neutron-neutron correlations have also been calculated. Our results are compared with those of an adiabatic model of the Coulomb breakup reactions. The two theories lead to almost identical results. Comparisons are also made with the available experimental data. It is found that the pure Coulomb breakup can describe the bulk of the data taken at below grazing angles. However, a rigorous description of all the available data requires the consideration of the nuclear breakup effects. PACS numbers: 24.50.+g, 25.60.Gc Key words: Coulomb breakup of 6 He, two-neutron halo nucleus, post form DWBA with finite range effects.