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The quark-delocalization colour-screening model is employed to study the kaonic nuclear cluster K-pp system.The calculation shows that there is a strong effective attraction between kaon and protons.The bound state can be formed and the binding energy is estimated to be about 80 MeV,and the space configuration is a symmetrical linear triatomic molecule with radius 1.15 fm.The results also show that the quark delocalization is responsible for the strong attraction in the system and the colour screening adds a little attraction in this case.