This paper corrects typographical errors in equations (20) and (23) and updates Table 1 in the original paper "Tidal Love numbers of neutron stars" (2008, ApJ, 677, 1216). The corrected equations and table provide the relativistic tidal Love numbers $ k_2 $ for neutron stars. The paper presents a calculation of the tidal Love number $ k_2 $ for fully relativistic polytropic neutron star models. The results show that the relativistic values of $ k_2 $ differ from Newtonian values by up to ~24%. The Love number is potentially measurable in gravitational wave signals from inspiralling binary neutron stars. The paper discusses the importance of the Love number in constraining the equation of state (EoS) of neutron stars through gravitational wave observations. The Love number is defined in terms of the ratio $ \lambda $ of the induced quadrupole to the perturbing tidal field, and is related to $ k_2 $ by $ k_2 = \frac{3}{2}G\lambda R^{-5} $. The paper also discusses the calculation of $ \lambda $ using static linearized perturbations of the equilibrium configuration in the Regge-Wheeler gauge. The results show that the Love number depends more strongly on the polytropic index $ n $ than on the compactness $ C = M/R $. The paper concludes that the Love number is a key parameter for understanding the internal structure of neutron stars and for constraining their EoS through gravitational wave observations.This paper corrects typographical errors in equations (20) and (23) and updates Table 1 in the original paper "Tidal Love numbers of neutron stars" (2008, ApJ, 677, 1216). The corrected equations and table provide the relativistic tidal Love numbers $ k_2 $ for neutron stars. The paper presents a calculation of the tidal Love number $ k_2 $ for fully relativistic polytropic neutron star models. The results show that the relativistic values of $ k_2 $ differ from Newtonian values by up to ~24%. The Love number is potentially measurable in gravitational wave signals from inspiralling binary neutron stars. The paper discusses the importance of the Love number in constraining the equation of state (EoS) of neutron stars through gravitational wave observations. The Love number is defined in terms of the ratio $ \lambda $ of the induced quadrupole to the perturbing tidal field, and is related to $ k_2 $ by $ k_2 = \frac{3}{2}G\lambda R^{-5} $. The paper also discusses the calculation of $ \lambda $ using static linearized perturbations of the equilibrium configuration in the Regge-Wheeler gauge. The results show that the Love number depends more strongly on the polytropic index $ n $ than on the compactness $ C = M/R $. The paper concludes that the Love number is a key parameter for understanding the internal structure of neutron stars and for constraining their EoS through gravitational wave observations.