This paper reports on the fabrication of nanofibres of ceramic compounds using electrospinning technique. In a typical process, ceramic nanofibres are fabricated by electrospinning a precursor mixture of appropriated metal sources, polymer and solvent, followed by calcination treatment of the electrospun composite nanofibres. In this work, the electrospinning set up as well as experimental procedure are described in detail. The fabrication of thermoelectric oxide NaCo2O4, ferroelectric Ba1-xSrxTiO3 and semiconductor TiO2 nanofibres with diameter of ~20-200 nm are demonstrated. The characterization of the fabricated nanofibres using TG-DTA, X-ray diffraction, Fourier transform infrared spectroscopy, Raman spectroscopy, scanning electron microscopy, and transmission electron microscopy is also investigated.