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In the present work, Friction stir welding of dissimilar materials AA5083 & AA6061 is carried out and by using Taguchi-based Grey Relational Analysis. The output characteristics like tensile strength, elongation, and hardness values are investigated using response surface methodology and grey relational analysis. The quality of the welded joint is measured based on the experimental values of tensile strength, elongation, and hardness of the joint the experiments were conducted in accordance with the L9 orthogonal array assigning different levels values to the process parameters. Tool pin profile, rotational speed, welding speed, and tool tilt angle are selected as the significant input parameters. Analysis of variance (ANOVA) is used to analyze the effect of each input welding parameter on the output responses. Statistical results show that the results of the confirmatory experiments are within 95% confidence optimal conditions with smaller deviations.