In our previous work [Phys. Rev. C 101, 014003(2020)], the photoproduction reaction γ p → K*+Λ was investigated within an effective Lagrangian approach. The reaction amplitudes were constructed by including the tchannel K, K~*, and κ exchanges, u-channel Λ, Σ, and Σ~* exchanges, s-channel N, N(2000)5/2+, and N(2060)5/2-exchanges, and interaction current. The data on the differential cross sections and spin density matrix elements were described simultaneously. In this study, we investigate the photoproduction reaction γn → K*0Λ based on the same reaction mechanism as that of γ p → K*+Λ to obtain a unified description of the data for γp → K*+Λ andγn → K*0Λ within the same model. All hadronic coupling constants, form factor cutoffs, and the resonance masses and widths in the present calculations remain the same as in our previous work for γ p → K*+Λ. The available differential cross-section data for γn → K*0Λ are well reproduced. Further analysis shows that the cross sections ofγn → K*0Λ are dominated by the contributions of the t-channel K exchange, while the s-channel N(2000)5/2~+ and N(2060)5/2- exchanges also provide considerable contributions.