We report on a search for B0bar --> D0 K(*)0bar decays based on 85 10^6 BBar events collected with the Belle detector at KEKB. The B0bar --> D0 K0bar and B0bar --> D0 K*0bar decays have been observed for the first time with the branching fractions Br(B0bar --> D0 K0bar) = (5.0^{+1.3}_{-1.2}+- 0.6) 10^{-5} and Br(B0bar --> D0 K*0bar) = (4.8^{+1.1}_{-1.0}+- 0.5) 10^{-5}. No significant signal has been found for the B0bar --> D*0 K(*)0bar and B0bar --> D(*)0bar K*0bar decay modes, and upper limits at 90% CL are presented.
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