Background: Once a global financial crisis breaks out, the interdependence between different financial markets suddenly increases and leads to a significant contagion. Methods: With 39 countries used as samples, this paper analyzes the interdependence between the stock market and the government bond market during the crisis periods. Results: It proves that the investor focuses more on the safety of their portfolio so there is neither a flight from quality nor a positive spillover during a crisis period. When one market is safer than the other market in the same country, a flight to quality occurs between the two markets; however, when the two markets in one country are both risky, negative spillover appears between these two markets.