The CLEO Collaboration has searched for charmless decays of $B$ mesons to hadronic final states containing $\omega$ or $\phi$ mesons using data from the CLEO II detector. With a sample of $6.6 \times 10^6$ $B$ mesons, they observed a significant signal for the $\omega K^+$ final state and measured a branching fraction of $B(B^+ \rightarrow \omega K^+) = (1.5_{-0.6}^{+0.7} \pm 0.2) \times 10^{-5}$. They also observed some evidence for the $\phi K^+$ final state and set upper limits for 22 other decay modes. These results provide valuable data for studying theoretical models and physical parameters, particularly in understanding $CP$ violation. The study utilized data collected at the Cornell Electron Storage Ring (CESR) with an integrated luminosity of 3.11 fb$^{-1}$ for $B\overline{B}$ production and 1.61 fb$^{-1}$ for background studies. The analysis involved reconstructing final states by combining detected photons and charged particles, with specific cuts to distinguish between signal and background events. The results are consistent with theoretical predictions and highlight the importance of these decays in advancing our understanding of flavor physics.The CLEO Collaboration has searched for charmless decays of $B$ mesons to hadronic final states containing $\omega$ or $\phi$ mesons using data from the CLEO II detector. With a sample of $6.6 \times 10^6$ $B$ mesons, they observed a significant signal for the $\omega K^+$ final state and measured a branching fraction of $B(B^+ \rightarrow \omega K^+) = (1.5_{-0.6}^{+0.7} \pm 0.2) \times 10^{-5}$. They also observed some evidence for the $\phi K^+$ final state and set upper limits for 22 other decay modes. These results provide valuable data for studying theoretical models and physical parameters, particularly in understanding $CP$ violation. The study utilized data collected at the Cornell Electron Storage Ring (CESR) with an integrated luminosity of 3.11 fb$^{-1}$ for $B\overline{B}$ production and 1.61 fb$^{-1}$ for background studies. The analysis involved reconstructing final states by combining detected photons and charged particles, with specific cuts to distinguish between signal and background events. The results are consistent with theoretical predictions and highlight the importance of these decays in advancing our understanding of flavor physics.