This study examines the presence of volatility spillovers between the cryptocurrency market and the Indian stock market. The analysis is based on daily data from 1st January 2015 to 31st December 2022, covering major cryptocurrencies such as Bitcoin and Ethereum along with the major stock indices of India, including the Nifty 50 and top 5 Bluechip companies. Using a multivariate BEKK - GARCH model, the results show that there exists a significant volatility spillover effect between the two markets, indicating that shocks in one market affect the volatility of the other market. Furthermore, the findings suggest that the spillover effects are asymmetric, with the impact of cryptocurrency market volatility being more significant on Indian stock market volatility than vice versa. These results have implications for investors and policymakers in understanding the interdependence between these two markets and devising appropriate risk management strategies.