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Let $\Omega\subset \Bbb R^2$ be a bounded domain with $\partial\Omega\inC^\infty$ and $L$ be a positive number. For a three dimensional cylindricaldomain $Q=\Omega\times (0,L)$, we obtain some uniqueness result of determininga complex-valued potential for the Schr\"odinger equation from partial Cauchydata when Dirichlet data vanish on a subboundary$(\partial\Omega\setminus\widetilde{\Gamma}) \times [0,L]$ and thecorresponding Neumann data are observed on $\widetilde\Gamma \times [0,L]$,where $\widetilde\Gamma$ is an arbitrary fixed open set of $\partial\Omega.$

Inverse boundary value problem for Schr\"odinger equation in cylindrical domain by partial boundary data