Taiwan’s paradox of family decline is examined with a household-based convoy, which allows us to explore the paradox from two perspectives, namely, the modified extended family and the household-based convoy. The modified extended family refers to the reunion of spatially separated families covering two generations. The household-based convoy is an extension of the modified extended family that includes relatives and friends with whom there is frequent contact. A probability sample survey with 1,979 cases completed is used to answer two questions: (1) Has there been a change in Taiwan’s family function because of structural change? (2) Is the family’s function being replaced by relatives and friends with whom there is frequent contact? The results of this study show that the coverage of the modified extended family is as high as 81%, indicating a high coherence among spatially separated households covering two generations. The proportions of the respondents who have provided five types of support including sick care, household chores, advice, regular allowances, and irregular allowances to non-coresiding parents are mostly around 40%. Moreover, the members of a modified extended family do have independent functions in relation to most types of support. These findings all lend evidence to refute the view that the family is declining in Taiwan.