At the meeting Mr Arkush, who is a trustee of Holocaust Memorial Day Trust, thanked Mr Harding for the live broadcast on Holocaust Memorial Day.
Chief Executive Gillian Merron and International Relations Officer David Walsh also attended the meeting on Monday.
After the meeting, a BBC spokesperson said: “We are committed to reporting all aspects of a very complex conflict in a fair and balanced way, reflecting a range of voices.”
Last November, a Board delegation met a team from Sky News in to discuss its coverage of Israel.