It is well known that non-centrosymmetric tetragonal antiferromagnets can host a number of interesting properties, including multiferroicity as well as magnetic skyrmions and Ba 2 CuGe 2 O 7 is one notable example. The study of all these complex phenomena requires the availability of good crystals. We have carried out the single crystal growth of the helimagnet Ba 2 CuGe 2 O 7 by the floating zone technique, using different gas atmospheres and pressures and report the optimal growth conditions allowing the synthesis of large crystals. X-ray Laue back reflection has been used to determine the orientations of the as-grown crystals. The morphology and chemical composition of the crystals have been investigated by scanning electron microscopy (SEM) with wavelength dispersive spectrometry (WDS). By using powder X-ray diffraction and energy dispersive spectroscopy (EDS) maps, the composition of the starting polycrystalline rods was checked. Powder X-ray diffraction has been also used to check the composition of the grown single crystals. Furthermore, the excellent quality of the Ba 2 CuGe 2 O 7 crystals was confirmed by rocking curve measurements, giving a FWHM of ~0.012°. The crystal growth parameters reported in this work allow the synthesis of high quality single crystals suitable for detailed investigations of the complex magnetic phase diagram of this non-centrosymmetric compound.