We have investigated the progress of structural distortions in DNA molecules by single-shot coherent diffraction using extreme-ultraviolet radiation from a free-electron laser. A speckle pattern of DNA molecules was successfully acquired using photons in a single pulse with a 100 fs pulse width. The radiation damage was assessed by a cross correlation, revealing that the first exposure has significantly deformed most of the original structures. Molecules were not completely destroyed by the first single-shot exposure and underwent subsequent distortions through continued exposure, until eventually deforming into a radiation-hard structure.