The three-body kaonic Kpp and KKp clusters are studied using the method of hyperspherical harmonics (HH) in momentum representation and differential Faddeev equations (DFE). We use different NN and KN interactions. Results obtained by the methods of HH and DFE are in reasonable agreement. The binding energy and the width show very strong dependence on the KN potential. We have two different classes of results: the results based on phenomenological strong KN potential, and the results obtained with much weaker chiral SU(3)-based KN potential.