The five-year drilling plan will work to prevent oil spills and reduce climate change, despite the efforts of major corporations.
"The Arctic is a unique treasure," Clinton tweeted. "Given what we know, it's not worth the risk of drilling."
The final permit came after the company repaired a ship essential to its exploration in the region this season.
The ship was headed to the Arctic for an oil-drilling mission before being forced to turn around.
The risk of another oil spill in Alaska is too high for BP to resume exploration.
Millions of American homeowners now find themselves living within a mile of drilling activity that they say is deflating the value of their homes, making it hard for them to move.