In a specimen analyzing apparatus such as a transmission electron microscope for analyzing the structure, composition and electron state of an observing specimen in operation by applying external voltage to the specimen to be observed, a specimen support (mesh) including a mesh electrode connectable to external voltage applying portions of the specimen and a specimen holder including a specimen holder electrode connectable to the mesh electrode and current inlet terminals as well are provided. Voltage is applied externally of the specimen analyzing apparatus to the external voltage applying portions of the specimen through the medium of the specimen holder electrode and mesh electrode.