This paper extends the literature on the relationship between oil price shocks and financial markets by examining the effect of oil shocks on the sovereign bond markets of a large number of advanced and emerging economies and exploring the impact of oil shocks on the degree of connectedness among international financial markets. We show that the effect of oil price shocks is not only limited to stock market returns, but also extends to bond markets, even after controlling for discount rate shocks as well as aggregate capital market effects. Unlike the case for stock markets, the effect on sovereign bonds is found to be rather heterogeneous (in terms of size and sign) and primarily driven by demand related shocks. We also show that oil price shocks serve as a driver of connectedness patterns across global financial markets, although the effect on connectedness depends on the nature of the oil market shock and the economic characteristics of the countries. Overall, the findings highlight the role of crude oil as a driver of not only of return dynamics in global stock and bond markets, but also of global financial connectedness patterns. •A comparative analysis of the effect of oil demand and supply shocks.•International stock and sovereign bond markets react differently.•Oil demand shocks have a positive effect on stock market returns.•Supply shocks impact more heterogeneously.•Oil shocks also determine connectedness across stock and sovereign bond markets.