Abstract:The microscopic cluster model approach has been performed to study the nuclear structure of the lightest and heaviest two-neutron halo nuclei, 6 He and 22 C, respectively. The matter radius and binding energy for the 6 He and 22 C nuclei are calculated and the effect of the core deformation ( 20 C) on the properties of 22 C nuclei is also discussed.Calculations have shown that the microscopic cluster model provides a good description of binding energy as well as matter radius in comparison to experimental data. The fittings of some parameters such as central potential depth, and surface diffuseness value (a) are discussed to find agreement in the results with the available experimental data. The exotic properties of two-neutron halo nuclides 6 He and 22 C such as weak binding energy, abnormal large matter radius, and Borromean system have been confirmed in the present work.