This paper questions the ability of the standard HOS model to explain changes in the labor shares (LS) of income in OECD countries. We use the Davis (1998) model where there is a wage rigidity in a sub-group of countries. We show that trade openness with developing countries reduces LS in rigid-wage countries, and does not affect LS in free-wage countries. This pattern is induced by factor reallocation towards capital-intensive sectors in rigid-wage countries. Using the KLEMS dataset for 8 OECD countries over the period 1970-2005, we show that the weight of capital-intensive sectors substantially increased in Continental European countries, while it did not change or even decreased in the US and the UK. Fixed effects regressions suggest that trade intensity with China explains between 30% (IV estimates) and 60% (OLS estimates) of the observed differential labor share change between Continental Europe and Anglo-Saxon countries.