While it may not be easy to find a bank that offers low or no fees for wire transfers, there are some. Some banks that offer low or no fees for wire transfers can include Ally, Fidelity, Capital One 360, Axos, and more. In some cases, the fee you pay may vary based on the kind of account you have, so double check the account terms and fees. Fees may also vary depending on whether it is an incoming, outgoing or international transfer.