The electromagnetic decay Σ0(1385)→Λγ was studied using the CLAS detector at the Thomas Jefferson National Accelerator Facility. A real photon beam with a maximum energy of 3.8 GeV was incident on a proton target, producing an exclusive final state of K+Σ*0. We report the decay widths ratio Σ0(1385)→Λγ/Σ0(1385)→Λπ0=1.42±0.12(stat)+0.11−0.07(sys)%. This ratio is larger than most theoretical predictions by factors ranging from 1.5–3, but is consistent with the only other experimental measurement. From the reported ratio we calculate the partial width and electromagnetic transition magnetic moment for Σ0(1385)→Λγ.