Micro turning is a process by which micro components can be produced.This paper deals with CNC Micro turning of Inconel 600 alloy with titanium carbide coated tool. Machining is done in DT-110 integrated multiprocessor micro machine tool.Micro turning is carried out with full factorial experiments with various combinations of cutting parameters such as speed (25,31, and 37 m/min), feed (5,10, and 15μm/rev) and depth of cut (30,50 and 70μm). For every set of experiments, the output parameters such as the tool wear and the surface roughness are measured. Non-linear regression model is used to represent relationship between input and output variables and a multi-objective optimization method based genetic algorithm is used to optimize the cutting parameters in turning process such as cutting speed, feed and depth of cut. Two conflicting objectives such as tool wear and surface roughness are simultaneously optimized.