Place carrots in a large pot and cover with water; bring to a boil.
Reduce heat to medium-low and simmer until tender yet firm to the bite, 10 to 15 minutes.
Drain and transfer to a serving bowl.
Combine brown sugar, butter, and bourbon together in a saucepan.
Bring to a simmer; cook and stir until thickened, about 10 minutes.
Pour glaze over carrots and serve immediately.
