A nuclear design \(ND(v;k,\lambda)\) is a collection \(B\) of \(k\)-subsets of a \(v\)-set \(V\), where \(B=P\cap C\), such that \((V,P)\) gives a maximum packing design, \(PD(v;k,\lambda)\), and \((V,C)\) gives a minimum covering design, \(CD(v;k,\lambda)\), with \(| B|\) as large as possible. In this paper, \(ND(v;3,\lambda)\)’s are constructed for all \(v\) and \(\lambda\), through some graphic approach.