In a small saucepan, melt the butter over medium heat. When the butter is melted, add the lemon juice, sea salt and herbs de provenance. Stir well and turn off heat when all the ingredients are combined.

Use a brush to grease the bottom of a baking dish with the butter mixture. Rinse the halibut filets and pat dry with a paper towel. Place the filets in the baking dish. Brush more of the butter mixture on the halibut filets, making sure that they are completely covered in butter.

Place the baking dish in the oven for 15 minutes. Halfway through, remove the dish and baste with the butter mixture. After 10 minutes, remove the dish from the oven and baste with the butter one more time. Serve hot.