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Hammurabi's Code of ancient Mesopotamian society was important because it listed the laws and the corresponding punishments.   Hammurabi's Code of ancient Mesopotamian soci â¦ ety was important because it listed the laws and the corresponding punishments.   the first time laws were put into writeing.
the significance of hammurabi's code is that his set of laws was the first set of laws to be written down and still to this day countries still go by his set of laws also it organized the most civilized empire at that time (his set of laws were created in 1760 BC(Before Christ) ) ? Â· 3 years ago. 1. Thumbs up.