We present a numerical study of measurement-induced suppressionof coherent tunneling in a two-level quantum system subject to repeated projective monitoring. The dynamics are simulated using astochastic quantum-trajectory (Monte-Carlo) unraveling which reproduces the dephasing dynamics of a continuously monitored system.We introduce an effective measurement rate γ ≈ pmeas/dt and demonstrate a monotonic reduction of the escaped population as a functionof γ/∆, where ∆ is the coherent tunneling amplitude. For a fixedevolution time T = π/2, we observe a clear transition to the quantumZeno regime for γ ≫ ∆. A log–log analysis of the large-γ data reveals an asymptotic scaling close to Pesc ∝ γ−1, in agreement withthe strong-measurement limit of the corresponding Lindblad masterequation. Our results provide a compact and programmable numericalplatform for investigating measurement-controlled tunneling dynamicsand Zeno-based control using gate-level quantum simulation frameworks.