we use the recursive method of construction large sets of t-designs given by qiu-rong wu (a note on extending t-designs, {em australas. j. combin.}, {bf 4} (1991) 229--235.), and present a similar method for constructing $t$-subset-regular self-complementary $k$-uniform hypergraphs of order $v$. as an application we show the existence of a new family of 2-subset-regular self-com...