Preheat the oven to 400 F. Line a rimmed baking sheet with foil.
Spread the peeled parsnips and carrots onto the baking sheet. Sprinkle salt and pepper and drizzle olive oil over the top. Roast for 25 to 30 minutes, turning once or twice.
In a small bowl, whisk the melted butter, honey and balsamic vinegar. Once the parsnips and carrots are finished roasting, drizzle the glaze over the top and toss well.
Serve Honey-Glazed Parsnips, warm as holiday side dish.