The laser engraving process was used to make a gravure on the surface of Ti–6Al–4V alloy. The determinative effect of the laser beam was used to engrave the material on the interaction region using laser engraving parameters. Among the basic laser engraving parameters; scan speed, scan direction, and fill spacing were selected to determine the engraving character of Ti-6Al-4V alloy. The Taguchi L18 orthogonal array was used to set up an experimental layout to analyze the effects of laser engraving on surface roughness and engraving depth. The signal-to-noise ratios for both surface roughness and engraving depth were calculated using the experimental data and also, it was used to decide which factor combination represents the optimal process responses. Further, the analysis of variance was used to decide on the significance of parameters at a 95% confidence level. The results obtained from the analysis of variance revealed that scan speed and scan direction are the critical parameters as p- values are lower than 0.05 and affect the surface roughness by 53% and 19%, respectively. However, scan speed and scan direction affect the engraving depth by 64% and 10%, respectively.