"In the run up to the referendum in the United Kingdom on its continuing in the European Union (Brexit), uncertainty about the poll outcome has resulted in some amount of turbulence in global financial markets, including in India," the Reserve Bank said in a statement.
"The RBI is maintaining a close vigil on developments, and will take all necessary steps, including liquidity support, to ensure orderly conditions in financial markets," it said.
India has significant trade with the UK as well as the EU. It also receives large investments from the Europe.
The stock market benchmark Sensex plunged nearly 150 points in early afternoon trade amid Brexit uncertainties, while rupee was also down in morning trade on these concerns.
Yesterday, Federal Reserve Chair Janet Yellen said Britain's exit from the European Union would have a significant economic repercussions.