The πN potential includes the t-channel exchanges of the scalar-mesons σ and f0, vector-meson ρ, tensor-mesons f2 and f ′ 2 and the Pomeron as well as the s-and u-channel exchanges of the nucleon N and the resonances ∆, Roper and S11. These resonances are not generated dynamically. We consider them as, at least partially, genuine three-quark states and we treat them in the same way as the nucleon. The latter two resonances were needed to find the proper behavior of the phase shifts at higher energies in the corresponding partial waves. The soft-core πN -model gives an excellent fit to the empirical πN S-and P -wave phase shifts up to T lab = 600 MeV. Also the scattering lengths have been reproduced well and the soft-pion theorems for low-energy πN scattering are satisfied. The soft-core model for the K + N interaction is an SU f (3)-extension of the soft-core πN -model. The K + N potential includes the t-channel exchanges of the scalar-mesons a0, σ and f0, vectormesons ρ, ω and ϕ, tensor-mesons a2, f2 and f ′ 2 and the Pomeron as well as u-channel exchanges of the hyperons Λ and Σ. The fit to the empirical K + N S-, P -and D-wave phase shifts up to T lab = 600 MeV is reasonable and certainly reflects the present state of the art. Since the various K + N phase shift analyses are not very consistent, also scattering observables are compared with the soft-core K + N -model. A good agreement for the total and differential cross sections as well as the polarizations is found.