The laser ablation process applied for restoration of the stone historical objects is reported and results of the experimental study on laser cleaning of the sandstone samples using the Nd:YAG laser (1064 nm; 6 ns FWHM;fluence 0,I-3 J/cm2) are discussed. Values of the ablation thresholdfor the dry andwet surface cleaning of the black crust of 0.4 J/cm2 and 0.1 J/cm2 are obtained, respectively. For the acoustically monitored ablation process a close correlation between the recorded sound amplitude and the removed layer thiclmess and also exponential decrease of the signal with the irradiation dose are observed. From analysis of the experimental data the optimal processing parameters, i.e. irradiation at 1064 nm andfluence of 0,45 J/cm2 for moistened surface are derived.