Preheat the oven to 400 degrees F and line a large sheet pan with parchment paper or foil for easy cleanup.
In a bowl, stir together the honey, minced garlic, soy sauce, olive oil, salt, and black pepper until the mixture is smooth.
Place the chicken thighs on the prepared sheet pan and spoon about half of the honey garlic mixture over them, turning the pieces so both sides are coated.
Add the broccoli florets to the pan around the chicken and drizzle the remaining honey garlic mixture over the broccoli, tossing the florets gently to coat them.
Bake for 25 to 30 minutes until the chicken reaches an internal temperature of 165 degrees F and the broccoli is tender with lightly browned edges.