A device has two mutually independent tools first to manipulate the section ribbons and second to manipulate the specimen holders (grids). Each of the tools can be positioned independently during the cutting process by two mutually independent micromanipulators. The tool for manipulating the section ribbons has a metal tube, a tube of an electrically insulating material and an exchangeable tip. A resilient fiber of dielectric material fitted with an electrically conductive surface coating is exchangeably mounted in the tip and is used for delicate handling of the section ribbons.