Investigating the pool boiling process in the absorption chiller generator by studying the valid parameters may enhance the chiller's coefficient of performance (COP). In the present study, the transient two-dimensional numerical modeling of LiBr/H2O solution pool boiling in the generator of the absorption chiller was carried out using the two-phase Eulerian- Eulerian approach, extended Rensselaer Polytechnic Institute (RPI) boiling model and renormalization group (RNG) K-? turbulence model. The numerical model was applied on three types of the bare, notched fin, and low fin tubes to investigate the effect of using fin on the boiling heat transfer rate in the generator of the absorption chiller and comparing it with the bare tube. Moreover, the numerical results were compared with the data obtained from the previous experimental studies to validate numerical modeling. A good agreement was achieved between numerical and experimental results. The results showed the evaporation mechanisms in the microlayer, evaporation in the three-phase (liquid-vapor-solid) contact line, and transient conduction to the superheat layer for constant thermal heat flux and the three surfaces of the copper tube within a specific period from the boiling point of LiBr/H2O solution. The results also showed that the use of a notched fin-tube and low fin tube increases the non-homogeneous nucleation rate, causes the solution to boil earlier than the bare tube, and reduces the required thermal energy in the generator of an absorption chiller.