In this study, the effects of important parameters of the FSSW process, rotational speed and dwell time, have been investigated on mechanical and metallurgical properties of dissimilar AA6061-T6 to the pure copper welded joint. In addition, the results were compared with the similar Al-Al and Cu-Cu welded joints. The results indicate that an increase in the rotational speed from 1250 to 1600 rpm and dwell time from 5 to 10 seconds improves the tensile and flexural strength of all the welded samples. Furthermore, at rotational speeds lower than 1250 rpm, due to reduced frictional heat generation, and above 1600 rpm, due to excessive heat production, the quality of the joints decreases. In this welding process, the amount of frictional heat generated directly affects the metallurgical structure, hardness of different welding zones, and intermetallic formations formed. The microstructure and the microhardness studies reveal that different welding parameters lead to the formation of fine grains and recrystallization in the stir zone and other regions with an increase in rotational speed and dwell time. This phenomenon is a result of the heat generated by friction and severe material deformation during welding. The refinement of grains contributes to increasing the hardness and strength. Moreover, the hardness analysis of the welded regions shows that the dissolution and growth of precipitates in the weld metal and its vicinity create a weaker region compared to the base metal, resulting in a decrease in hardness relative to the base metal.