With the factorial design experiment, the influences of laser process parameters on hole taper and heat affected zone (HAZ) of fluorophlogopite glass ceramic are studied. Regression equations between taper, HAZ thickness and laser process parameters are established and the process parameters are optimized. The experimental results show that the laser process parameters are in the order of the current, defocusing amount, pulse width, and repetition number based on their influence degree on taper and HAZ. In addition, the taper and HAZ thickness are also influenced by the interactive effects of the current and defocusing amount, and the current and pulse width. The established regression equation can describe the relationships between the taper, HAZ thickness and laser process parameters. From the regression equation, the optimized laser process parameters are obtained as follows: 150 A of current, 2 ms of pulse width, 3 of repetition number and 2.18 mm of defocusing amount.