Laser heating and ablation of plasma-facing surface of graphite tile from TEXTOR tokamak with a deposited carbon layer were under study. Laser heating measurements were performed with a pulsed nanosecond Nd-YAG laser (2nd harmonic, 10kHz repetition rate, 100ns pulse duration). Surface temperature measurements were made with the developed pyrometer system. The experimental results were simulated with the theoretical model of laser heating of a surface with a deposited layer by periodically repeating laser pulses. The comparative experimental and theoretical study of the laser heating temperature traces allowed to characterise the deposited carbon layer if thermal and optical properties of the graphite substrate are known. Laser ablation measurements were made with two pulsed nanosecond Nd-YAG lasers (20Hz and 10kHz repetition rate with 5ns and 100ns pulse duration, respectively). For the plasma-facing graphite surface with a thick (~30-50µm) deposited carbon layer, the ablation threshold was 0.45±0.1 J/cm2 without dependence on the applied pulse duration. The obtained ablation threshold was significantly lower than the one for the backside non-plasma-facing surface of tokamak graphite without a carbon deposit. The comparison of the experimental and theoretical results demonstrated that the laser ablation mechanisms for tokamak graphite and thick carbon layers deposited on plasma-facing surface are different.