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We construct a model of international trade and multinational production (MP) to examine the impact of globalization on the skill premium in developed and developing countries. Our framework extends the Heckscher-Ohlin model by incorporating productivity di¤erences across producers within a sector, skill-biased technology (more e ¢ cient producers employ a relatively higher share of skilled workers), and MP. Reductions in trade and/or MP costs induce a re-allocation of resources both towards sectors that are intensive in a countrys abundant factor (generating a between e¤ect that increases the skill premium in skill-abundant countries and reduces it in skill-scarce countries) and within sectors towards more e ¢ cient producers that are more skill intensive (generating a within e¤ect that increases the skill premium in all countries). We study how the models parameters determine the strength of these e¤ects. Using a parameterized version of the model that matches salient features of U.S. data on trade and MP, we study the impact on the skill premium of changes in the extent of globalization (the shares of trade and MP in output) and in the composition of globalization (the relative importance of skill-abundant and skill-scarce countries in the global economy). Central to many of our results is the fact that the within e¤ect is stronger than the between e¤ect. In response to the three-fold increase in the extent of globalization in the U.S. over the last 40 years, the model generates an increase in the skill premium of 4 % to 6 % in the U.S. (or 1=6 to 1=4 of the rise of the college wage premium during this period) and 5 % in skill-scarce countries. We thank Francisco Alcalá, Chris Kurz, and Eric Verhoogen for help with their data. We are grateful to Arnaud
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