The invention is directed to photomachinable glass compositions having a controllable or tunable photosensitivity, and to a method for making such compositions. The compositions of the invention contain titania (TiO2) in an amount in the range of greater than 0.01 wt. % to 2 wt. % added to any known photomachinable glass composition. In one embodiment the TiO2 in an amount in the range of greater than 0.01 wt. % to 1 wt. %. An example of a photomachinable glass of the invention is one having a composition having, in weight percent (wt. %) of 65-80% SiO2, 15-20% Li2O, 1-4% Na2O, 1-4% K2O, 2-10% Al2O3, 0-3% ZnO, 0-0.15% Sb2O3, 0-0.015% CeO2, 0-0.001% Au, 0-0.015% Ag and >0.01% to 2% TiO2, and the sum of Au+Ag is greater than zero. In particular embodiment the TiO2 is in the range of >0.01% to 1%.