Bagchi is an Indian surname. Notable people with the surname include:
- Jatindramohan Bagchi (1878–1948), Bengali poet
- Subroto Bagchi (born 1957), Indian entrepreneur
- Tanishk Bagchi, Indian composer
- Biman Bagchi, Indian scientist
- Amiya Kumar Bagchi, Indian economist
- Rupankar Bagchi, Bengali singer