We identify local and global factors across international bond markets that are poorly spanned by the cross-section of yields but have strong forecasting power for future bond excess returns. Local and global factors are jointly signicant predictors of bond returns, where the global factor is closely linked to US bond risk premia and international business cycles. Motivated by our results, we estimate a no-arbitrage ane term structure model for each country in which movements in risk premia are driven by one local and one global factor. Yield loadings for the two factors are estimated to be close to zero while shocks to risk premia account for a small fraction of yield variance. This suggests that the cross-section of yields conveys little information about the return-forecasting factors. We show that shocks to global risk premia cause osetting movements in expected returns and expected future short-term interest rates, leaving current yields little affected. Furthermore, correlations between international bond risk premia have increased over time, indicating an increase in integration between markets.