A large setof Kirkman triple systems of order v, denoted by LKTSv, is a collection X, Bi : 1 ≤ i ≤ v − 2, where every X,Bi is a KTSv and all Biform a partition of all triples on X. Many researchers have studied the existence of LKTSv for a long time. In 13, the author introduced a concept—large set of generalized Kirkman systemsLGKS, which plays an important role in the discussion of LKTS. In this article, we give a new construction for LGKSand obtain some new results of LKTS, that is, there exists an LKTS6u 3 for u qn, where n ≥ 1, q ≡ 7 mod 12 and qis a prime power. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 202–212, 2008