Freely suspended smectic films of a few molecular layers thick is a model system that can be used to study two dimensional phenomena. In our study, we drew a smectic C film across a few millimeter hole and stabilized it with a strong surface tension capable of suspending 5CB nematic liquid crystal droplets sprayed onto it. Thermal fluctuation of liquid crystal molecules is observed across the smectic C film and can cause the droplets to be driven closer and coalesce. The coalescence in this environment has yet to be studied more extensively. When two droplets are touching each other, connecting bridge between them forms and rapidly grows while they merge. Coalescence between them was thoroughly studied through high-speed camera under the cross-polarized observation and different regimes during coalescence process were analysed. Scaling law for various regimes will be discussed and explained. To understand the experimental result further, we also perform the study of droplet coalescence through finite element software which include inertial force, interfacial force and viscous force in the model. Comparing and analyzing the experimental and simulation results.