This paper questions the claim that U.S. immigration should be reduced because the economy can no longer absorb immigrants as it has in the past. Analysis of male hourly wages shows that the effect of immigration on wages did not change between 1980 and 1990. Further, immigration had no negative effects on wages in 1980 or 1990. These results suggest that the capacity of the labor market to absorb immigrants has not been reduced. Additional analysis shows that, controlling for personal characteristics, the hourly wages of the average native and immigrant worker in areas of high and medium immigration relative to areas of low immigration increased between 1980 and 1990. However, Latino immigrants are affected negatively by immigration. Copyright 1995 Western Economic Association International.