AbstractRecent technological changes have been characterized as “routine‐substituting” because they reduce demand for routine tasks and increase demand for analytical and service tasks. Little is known about how these changes have impacted immigration, or task specialization between immigrants and native‐born individuals. In this paper, we show that such technological progress has attracted immigrants who increasingly specialize in manual‐service occupations. We also suggest that openness to immigration attenuated the job and wage polarization faced by native‐born from technological changes. We explain these facts with a model of technological progress and endogenous immigration. Simulations show that unskilled immigration attenuates the drop in routine employment proceeding from technological change, enhances skill upgrading for native‐born and raises economy‐wide productivity and welfare.