The smartphones are available for a starting price of Rs 49,900
According to the Verge, the smartphones have also gone on sale in the US, UK, Germany, and France and other markets.
The Galaxy S6 has a flat display, while the Galaxy S6 Edge has a dual-curved display that wraps around both the left and right sides.
Samsung's new Galaxy S6 comes in three variants, 32GB for Rs 49,900, 64GB for Rs 55,900 and 128GB for Rs 60,900 in India.