A growing literature provides evidence on multigenerational inequality – the extent to which socio-economic advantages persist across three or more generations. This chapter reviews its main findings and implications. Most studies find that inequality is more persistent than a naive iteration of conventional parent-child correlations would suggest. We discuss potential interpretations of this new “fact” related to (i) latent, (ii) non-Markovian or (iii) non-linear transmission processes, empirical strategies to discriminate between them, and the link between multigenerational and assortative associations.