What Manda said. Unless you plan to eat several cups of each per day, it's sorta a wash.
Honey is (usually) less processed than sugar (even natural, organic sugars), and it does contain antioxidants. It's also easier to buy honey locally and support local farmers, businesses, and so forth. So it would be a better environmental choice from that perspective.
OTOH, if you're Vegan, there are issues with the use of honey - from the involuntary nature of the harvesting, to the fact that bees do die in the process. In that case a natural cane sugar would be a better option.
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