Everything from schools to train systems are shut down in many cities across the country.
Despite the protests though, not everyone is angry about these retailers setting up shop in India. "In a country of more than 1.2 billion people," says the BBC's Rahul Tandon in Calcutta, "there are lots of different viewpoints."
Some people worry that it will hurt small businesses and leave people jobless. On the flip side, some Indians see the arrival of such stores as a sign that the wealth of India is increasing, and will mean good things for its citizens.