At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
The Industrial Revolution in the US helped to attract many more immigrants to the country. Immigrants tended to leave their home countries because they hoped that there would be more economic opportunity in the US. The fact that there was more opportunity in the US was due largely to industrialization. Most of the immigrants who came to the United States ended up staying in big cities. Most of those who did so worked in industry. Because the US was industrializing rapidly, there were lots of factory jobs for these immigrants. Their relative success, economically speaking, inspired still more immigrants to come.
Missunshinexxoxo answered the reversed question (impact of industrialization on immigration). The actual answer is actually little different: Immigrants had various backgrounds, many of them were intellectuals (main reason for early immigration was religion, most of them were protestants). They all brought with them their origin country's industrial knowledge, which heavily boosted early american industry. Immigration also provided workforce, which was prepared to work for small pay, which allowed even faster development.