Harlington A. Wood Jr., one of six men under consideration by President Carter to become the new FBI director, bowed out of the race yesterday.

Wood, 57, a judge of the Seventh U.S. Circuit Court of Appeals in Chicago, sent a telegram to Attorney General Griffin B. Bell asking that his name be withdrawn "because of personal reasons and family considerations."

The Justice Department announced later that Bell had advised the White House of Wood's request and that his name has been taken off the list of candidates.

Wood was among the five men chosen by a special selection committee named by Carter to recommend possible successors to retiring FBI director Clarence M. Kelley. The others are John J. Irwin Jr., an associate justice of the Massachusetts Superior Court; William Lucas, sheriff of Wayne County, Mich.; Neil J. Welch, a career FBI agent who heads the bureau's Philadelphia field office, and John K. Van de Kamp, district attorney of Los Angeles County.

The Chairman of the selection committee, Irving S. Shapiro, also recommended to the President consideration of John A. Mintz, another career FBI official who heads the bureau's legal division. All six have been personally interviewed by Carter.