  We describe searches for decays of B mesons to the charmless final states
eta' eta' K. The data consist of 228 million B Bbar pairs produced in e+ e-
annihilation, collected with the BaBar detector at the Stanford Linear
Accelerator Center. The 90% confidence level upper limits for the branching
fractions are Br(B0->eta' eta' K0)<31 10^{-6} and Br(B+->eta' eta' K+)<25
10^{-6}.
