In this paper, we study k-term arithmetic progressions N, N + d, ..., N + (k – 1)d of powerful numbers. Unconditionally, we exhibit infinitely many 3-term arithmetic progressions of powerful numbers with d ≤ 5N^½. Assuming the abc-conjecture, we obtain a nearly tight lower bound on the common difference. We also prove some partial results when k ≥ 4 and pose some open questions.