Based on BOSS framework, by using the 400 M inclusive ψ(3686) events produced by BESIII data production group, the possibility was studied that of measurement the branching fraction of cJ→ηη’ at BESIII. By using 400 M inclusive ψ(3686) events as background sample and exclusive Monte Carlo sample as signal sample, assuming the signal significant to be 3σ and 5σ by controlling the signal event, the corresponding branching fractions were obtained.