Kefir is a popular probiotic drink known for its fermented, acidic, and slightly alcoholic properties. This study aimed to determine key processing variables, namely, the ratio of kefir grains/milk, the incubation temperature, and the incubation time, that optimise the quality of pasteurised goat milk kefir. Fourteen kefir treatments built upon three grain/milk ratios (0.5%, 1%, and 1.5%), three incubation times (16 h, 20 h, and 24 h), and three incubation temperatures (15 °C, 20 °C, and 25 °C) were carried out, according to a Box–Behnken design with three central points, to determine the best triplet variables regarding the following properties: pH, acidity (% of lactic acid), syneresis (%), mesophile and lactic acid bacteria concentrations, firmness, consistency, cohesiveness, and viscosity index. Response surface analysis was applied to each of the quality attributes. It was found that all the quality properties were affected by the three factors, with the factors having, in all cases, significant effects (p<0.05) for the first-order estimation. Kefir acidity was maximised at 0.66%, 25.3 ºC, and 22.8 h, although the temperature had a much greater effect than time, and in turn, the latter had a greater effect than the grains/milk ratio. In terms of the textural properties, the firmness and viscosity index were maximised under conditions of 1.07%, 19.9 ºC, and 17.4 h and 1.28%, 18.5 ºC, and 20.4 h, respectively. At an incubation temperature of 25 ºC, syneresis was found to be between 38.5 and 39.9%; lower values (4.46 – 4.49%) were attained at 15 ºC. Lower incubation temperatures or longer incubation times can also produce kefir with the desired acidity and textural quality regarding hardness and consistency, but only if the ratio is increased (>1.0%). Thus, this study has been very valuable in understanding the effects of these three key processing variables and helping in the determination of the variables necessary to obtain goat milk kefir of good technological quality for subsequent studies.