In a large skillet, place the carrots with enough water to just cover the carrots. Bring to a boil over high heat, then simmer until all of the water has evaporated, 20 to 25 minutes.
When the skillet is almost dry,turn off the heat and add the butter, honey and brown sugar. Stir with the carrots until the sugar has dissolved.
Sprinkle the dill over the carrots and toss until evenly distributed.Serve hot!