In spite of important differences in some of the resources immigrant parents have to invest in their children, and in immigrant selection rules and settlement policies, there are significant similarities in the relative positions of 4- and 5-year-old children of immigrants in Australia, Canada, the United Kingdom, and the United States. Children of immigrants underperform their counterparts with native-born parents in vocabulary tests, particularly if a language other than the official language is spoken at home, but are not generally disadvantaged in nonverbal cognitive domains, nor are there notable behavioral differences. These findings suggest that the cross-country differences in cognitive outcomes during the teen years documented in the existing literature are much less evident during the early years. (Contains 6 tables.)