Snap off and discard woody bases from asparagus.Cut into 2 in. Pieces and set aside. Cook potatoes in boiling water covered for 10 min. Add asparagus and cook covered til both are tender (about 8 min.). Drain and transfer to a serving bowl.
Meanwhile, for dressing, in a small bowl combine the olive oil, lemon peel, salt and thyme. Add to the veggies, tossing to coat.Serve warm.