During the scanning of magnetic resonance imaging (MRI) system, the main acoustic noise source comes from the gradient coils. The gradient coils are turned on and off repeatedly, thus producing noise within the coil. With increasing magnetic field strength, the noise also increases. The primary method to reduce the noise is to decrease the distribution of the Lorentz forces. Target field (TF) method is very important for designing gradient coils which have been used in MRI and other applications. Many works based on the Turner’s traditional TF method have been proposed. In this paper, a target field method combined with vibration control has been presented to analyze the deflection of a cylindrical z-gradient coil because of the Lorentz forces. Simulation results via Matlab show that the maximum vibration amplitude can be reduced effectively by the new design method proposed in this paper.