A method of printing is disclosed which comprises the steps of (i) providing a lithographic printing plate precursor comprising a support and a heat- or light-sensitive coating; (ii) image-wise exposure of the coating to heat or light; (iii) prior to step (ii) or (iv), mounting the lithographic printing plate precursor in a printing unit of a printing press, said printing unit comprising a dampening system and an inking system; (iv) development by supplying a processing liquid to the coating by means of the dampening system, thereby obtaining a lithographic printing plate; (v) printing by supplying single-fluid ink or driographic ink to the lithographic printing plate by means of the inking system. This method allows on-press processing of printing plate materials that require wet processing.