In this study, an attempt is made to examine the machining response parameters in turning of AISI 1040 steel under different lubrication environment. Subsequently, design of experiment technique Response surface methodology (RSM) is used for analyzing machining performance by varying cutting conditions with the use of 2wt% of CNT/MoS2(1:2) HNCF. Regression models are developed for multiple machining responses. Optimization is performed for these models by using desirability function, which converts multi-objective into single objective. Then the optimal setting parameters for single objective is found. Significant reduction in main cutting force (Fz), cutting temperature (T), surface roughness(Ra) and tool flank wear (Vb) are found with the use of 2wt% of CNT/MoS2(1:2) HNCF compared to other lubrication environment. Significant factors that affect the main cutting force (Fz), the temperature in the cutting zone are cutting speed, feed rate and depth of cut. Parameter depth of cut has an insignificant effect on tool flank wear and surface roughness (Ra). The optimal cutting conditions for four multi-objective optimization of main cutting force (Fz), cutting temperature, surface roughness (Ra) and tool flank wear are found to be cutting speed 70.25 m/min, feed 0.13 mm/rev and doc 0.5mm at desirability value of 0.907.