  An Erd\H{o}s-Ko-Rado set in a block design is a set of pairwise intersecting
blocks. In this article we study Erd\H{o}s-Ko-Rado sets in 2-(v,k,1) designs,
Steiner systems. The Steiner triple systems and other special classes are
treated separately. For unitals we also determine an upper bound on the size of
the second-largest maximal Erdos-Ko-Rado sets.
