  We investigate K*{\Lambda}(1116) photoproduction off the proton and neutron
targets in the effective Lagrangian method in the tree-level Born
approximation. In addition to the K, K*, and {\kappa} exchanges which are the
main contributions to the reaction, we consider the contributions from the
higher nucleon resonances D13(2080) and the D15(2200). We find that the
D13(2080) plays a crucial role in explaining the enhancement of the
near-threshold production rate, which results in a good agreement with the
experimental data for the proton targets, while the contribution of the
D15(2200) is rather small. A similar conclusion is drawn for K* photoproduction
off the neutron targets. In addition to the energy and angular dependence of
the cross sections, we present the predictions on the photon-beam asymmetry.
