Abstract: Neutron star tidal deformability extracted from gravitational wave data provides a novel probe to the neutron star structures that encode the information of the nuclear equation of state (EOS). In this contribution to QCS2023 special issue, attention is paid to the role of the hyperon compositions and core-crust transition in the tidal deformability in a relativistic mean-field approach with the density-dependent parametrizations. Since both the core-crust transition density and the hyperon compositions involve large uncertainties in neutron stars, it is demonstrated that various core-crust transition density and hyperon compositions allowed by the parametrization can both have significant effects on the tidal deformability of neutron stars. These results are instructive for further experimental and theoretical works.