We report the results of searches for B+ -> J/psi eta' K+ and B0 -> J/psi
eta' Ks0 decays, using a sample of 388 x 10^6 BBbar pairs collected with the
Belle detector at the Upsilon(4S) resonance. No statistically significant
signal is found for either of the two decay modes and upper limits for the
branching fractions are determined to be B(B+ -> J/psi eta' K+) < 8.8 x 10^-5
and B(B0 -> J/psi eta' Ks0) < 2.5 x 10^-5 at 90% confidence level.Comment: 5 pages, 6 figures, submitted to PRD Brief Repor