This paper presents a Seemingly Unrelated Regressions estimation of earnings differentials between three generations of immigrants and natives in Sweden. The results show that male first-generation immigrants were at an earnings advantage compared to male natives. Among male second-generation immigrants the earnings differentials compared to natives were very small, while third-generation immigrants were at an earnings disadvantage compared to natives. The same pattern was found among females. Thus, the results indicate that ethnic differences in earnings are likely to occur even after several generations spent in a country and that the problem of immigrant assimilation that exists in many European countries may last for several generations.