I study the D-s(2317) and D-s(2457) discovered at BaBar, CLEO and Belle, and find that they belong to a class of strange S = -1 tetraquarks and pentaquarks, which is equivalent to the class of kaonic molecules bound by short range attraction. In this class of hadrons a kaon is strongly trapped by a s-wave meson or baryon. To describe this class of multiquarks the Resonating Group Method is applied to a standard quark model with chiral symmetry breaking, and the short range kaon-meson(baryon) interactions are extracted. A criterion is derived to classify the attractive channels. I conclude that the mesons B-s((0+)), B-s,((1+)), and the baryons Omega(cc), Omega(cb), Omega(bb) clearly belong to the new hadronic class of the Ds(2317) and Ds(2457). The hadrons f(0)(980), Lambda, Sigma(c), Sigma(b) possibly belong to a related family. (C) 2004 Elsevier B.V. All rights reserved.