We investigate the effect of unparticles in the pure annihilation type decays B^- → D_s^-ϕ and D_s^- K^*0. Since these decays have only annihilation contributions their branching ratios are expected to be very small in the standard model and the direct CP asymmetry parameters to be zero. We find that due to the unparticle effect these branching ratios can be significantly enhanced from their standard model values. Furthermore, sizable nonzero direct CP violation could also be possible in these

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... hannels due to the presence of intrinsic CP conserving phase in the unparticle propagator.