Sustainable machining necessitates energy efficient processes, longer tool lifespan and greater surface integrity of the products in modern manufacturing. However, when considering Ti-6Al-4V alloy these objectives turn out to be difficult to achieve as titanium alloys pose serious machinability challenges, especially at elevated temperatures. In this research, we investigate the optimal machining parameters required for turning of Ti-6Al-4V alloy. Turning experiments were performed to optimize four response parameters i.e. specific cutting energy (SCE), wear rate (R), surface roughness (R a ) and material removal rate (MRR) with uncoated H13 carbide inserts in the dry cutting environment. Grey relational analysis (GRA) combined with the analytic hierarchy process (AHP) was performed to develop a multi-objective function. Response surface optimization was used to optimize the developed multi-objective function and determine the optimal cutting condition. As per the ANOVA, the interaction of feed rate and cutting speed (f × V) was found to be the most significant factor influencing the grey relational grade (GRG) of the multiobjective function. The optimized machining conditions increased the MRR and tool life by 34 % and 7 %, whereas, reducing the specific cutting energy and surface roughness by 6 % and 2 % respectively. Using Taguchi based GRA by analytic hierarchy process (AHP) weights method, the benefits of high-speed machining Ti6Al4V through multiresponse optimization were achieved.