In our previous work [Phys. Rev. C 101, 014003 (2020)], the photoproduction reaction γp → K * + Λ has been investigated within an effective Lagrangian approach. There, the reaction amplitudes were constructed by including the t-channel K, K * , and κ exchanges, the u-channel Λ, Σ, and Σ * exchanges, the s-channel N , N (2000)5/2 + , and N (2060)5/2 − exchanges, and the interaction current. It has been shown that the data on both the differential cross sections and the spin density matrix elements were simultaneously and satisfactorily described. In this paper, we study the photoproduction reaction γn → K * 0 Λ based on the same reaction mechanism as that of γp → K * + Λ with the purpose of getting a unified description of the data for both γp → K * + Λ and γn → K * 0 Λ within a 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 γp → K * + Λ. The available differential cross-section data for γn → K * 0 Λ are well reproduced. Further analysis shows that the cross sections of γn → K * 0 Λ 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 provide considerable contributions as well.