This paper takes issue with the way in which the individualization thesis--in which it is assumed that close relationships have become tenuous and fragile--has become so dominant in 'new' sociological theorizing about family life. Although others have criticized this thesis, in this paper the main criticism derives from empirical research findings carried out with members of transnational families living in Britain whose values and practices do not fit easily with ideas of individualization. It is argued that we need a much more complex and less linear notion of how families change across generations and in time.