By using the Tamm-Dancoff approximation, the K+-N elastic scattering problems are solved. We have calculated phase shifts and cross section at five energies below 400 Mev. The numerical results are compared with experiments and previous works. In calculation, the nucleon recoil effects are considered, which may give better energy dependence of K+-p scattering above 250-300 Mev. The different possibilities of K-Y relative parities have also been considered. Our results favour odd parity but the opposite parities of ∧ and ∑ particles also fit the K+-p scattering data. However, the two cases are not in agreement with the experiment in analyzing the K+-n scattering.