The kaon photoproduction is analyzed up to E Lab γ =2.0 GeV by using an isobaric model based on effective Lagrangians and by taking a cross symmetry into account. Both pseudovector and pseudoscalar couplings for kaonbaryon-baryon (baryon spin=1/2) interactions are considered with form factors. A vector meson(K * (890)), an axial vector meson(K 1 (1270)), nucleon resonances(J ≤ 5/2), and hyperon resonances(J ≤ 3/2) are treated as participating particles. By determining unknown coupling constants through a systematic fitting of the differential cross section, the total cross section, the single polarization observable, and the radiative kaon capture branching ratio to their experimental data, we find out a simple model which reproduces all the experimental data well.