A micro-electromechanical device has a substrate (10), a movable element, movable towards the substrate by electrostatic forces on electrodes, facing surfaces of the movable element and the substrate being shaped such that one or more venting channels (VC) are defined by the facing surfaces when they are in a closed position, configured to enable fluid between the facing surfaces to flow across the facing surfaces, to enter or exit the area between the facing surfaces. Such channels can enable fluid damping of the movement of the moveable element to be controlled. Increasing the flow entering or exiting the area between the facing surfaces, can reduce such damping, and hence increase speed of opening and closing of the device. The channels can connect to holes in the electrodes.