The CP asymmetry in charmless inclusive hadronic decays of charged B mesons is calculated in the three-generation Kobayashi-Maskawa model. Asymmetries are found favoring the decays of $B^{+}$ over $B^{\mathrm{-}}$ which may be as large as 3% and 5% for strangeness zero and one final states, respectively. It is suggested that asymmetries at this level or larger may be observable in the decay modes $B^{\pm }$→pp¯${\pi }^{\pm }$ and $B^{\pm }$→pp¯$K^{\pm }$.

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