The BSE TASIS Sharia 50 consists of the largest and most liquid sharia-compliant stocks within the BSE 500 index.
All the companies have been vetted to ensure they comply with Islamic law, which does not allow investors to put money into firms that benefit from interest or the sale of sinful goods such as alcohol, tobacco or firearms.
The managing director and chief executive of the Bombay Stock Exchange, Madhu Kannan, said the index would attract Islamic and other "socially responsible" investors both in India and overseas.
"This index will create increased awareness of financial investments among the masses and help enhance financial inclusion," he said in a statement.
"The index will also build a base for licensing for the construction of sharia-compliant financial products, including mutual funds, ETFs (exchange traded funds) and structured products."
Several studies have found that the majority of India's 160 million Muslims have been excluded from the country's form