The Greater Himalaya, accommodating huge ice mass in the form of glaciers and snow cover, comprises a source of many perennial rivers. Gangotri glacier, one of the largest glaciers, located in the Central Himalaya is a major source of water for the river Bhagirathi, a tributary of the Ganges. In the present study, an attempt is made to model glacier melt runoff of the Gangotri glacier basin, over a continuous time period from the year 2010–2019 using MODIS satellite data and by employing the SNOWMOD model in the GIS domain. Parameters pertaining to snow cover area, snow-free area, and subsurface flow including climatic parameters viz., temperature, and precipitation, for different elevation zones, were computed. The peak discharge was observed in the year 2010 (256.79m3/sec) in contrast to the lowest melt discharge (80.65 m3/sec) in the year 2019 reflecting marked changes possibly due to reduced precipitation and higher intensity of insolation. The decrement in the melt discharge from 2010 (256.79m3/sec) to 2012 (83.53 m3/sec) followed by increment up to 2016 (204.06 m3/sec), and subsequent fall till 2019 (80.65 m3/sec) reflects vast climatic fluctuation. A positive correlation of estimated discharge with temperature and precipitation reflects glacier melt discharge as a potential indicator of climate change. The study proved the potential of satellite data in the accurate assessment of snowmelt runoff in data-scarce and inaccessible terrain of the Himalayas.