Using a data sample of 1.31×109 J/ψ events collected with the BESIII detector, a search for η′→γγη via J/ψ→γη′ is performed for the first time. No significant η′ signal is observed in the γγη invariant mass spectrum, and the branching fraction of η′→γγη is determined to be less than 1.33×10-4 at the 90% confidence level. © 2019 authors. Published by the American Physical Society.