The storage of hydrogen in liquid form is an efficient storage method due to high volumetric energy density. The main problem of liquid hydrogen storage is the boil-off losses due to heat leakage. To minimize the boil-off losses, multi layer insulation with Vapor Cooled Shield (VCS) is used. In a cryogenic tank with VCS, the evaporated hydrogen flows circularly through a spiral pipe which surrounds the insulator of the tank. The evaporated hydrogen flows in the spiral pipe and it absorbs the some part of the heat leakage. The spiral pipe acts as a VCS since it decreases the heat leakage and boil-off losses significantly. To design a cryogenic tank with VCS, the main issue is to find the optimum location of VCS to minimize the heat leakage. For this aim, 1D thermal model has been developed in literature. This model considers only the radial heat transfer and it is based on the assumptions of constant heat capacity and heat transfer coefficient of hydrogen although they strongly depend on temperature. In this study, 2D improved thermal model is developed. The developed model considers both radial and axial heat transfers and also the temperature dependence of heat capacity and heat transfer coefficient of hydrogen. The model is used to thermal optimization of a cylindrical cryogenic tank with double VCS. Temperature and heat flux distributions are examined and the total heat leakage is calculated for different positions of double VCS. More realistic predictions for optimal VCS positions and boil-off losses are obtained.