The effect of plasma rotation on suppression of magnetohydrodynamic (MHD) turbulence is studied using a turbulent dynamo model. This dynamo model consists of the equations for the turbulent MHD energy, its dissipation rate, and the cross helicity, which are solved numerically. The temporal evolutions of the turbulent MHD energy and the turbulent cross helicity are compared between states with and without poloidal plasma rotation. It is shown that the turbulent MHD energy is greatly suppressed through the turbulent cross-helicity effect in the presence of poloidal plasma rotation. The cross-helicity production mechanism is also discussed.