  We report on a search for the decay B+ -> D*+ K0_S and its charge conjugate
with the CLEO detector at the Cornell Electron Storage Ring (CESR). No
candidates are found in 9.10/fb of data. The background is estimated to be 0.29
+- 0.05 leading to an upper limit BF(B+ -> D*+ K0_S) = 9.5 x 10^{-5} (90%
C.L.).
