In yesterday's editions, The Washington Post identified Joseph D. Duffey as assistant secretary of state for educational and cultural affairs. Duffey, who previously held the State Department post, is now chairman of the National Endowment for the Humanities.

Anne Wexler, a liberal Democratic Party activist who is now deputy under secretary of commerce, is being moved to the White House in the first of a series of personnel shifts designed to shore up the presidential staff, informed sources said yesterday.

Wexler, 48, is expected to meet with President Carter today or later this week to discuss her new assignment.

Exactly what the former Connecticut political activist leader will do as a member of the White House staff remained unclear last night.

According to one version, Wexler will become a deputy to Hamilton Jordan, Carter's chief political adviser, and will be placed in charge of "policy implementation" - in effect, making certain that presidential directives are carried out in government agencies.

But according to another version, while Wexler may join Jordan's staff, she will devote the bulk of her time to political liaison with various constituent groups, a task that until now has been under the direction of the only woman on the White House senior staff, Midge Costanza.

Meanwhile, another source said yesterday that the president is considering appointing White House counsel Robert J. Lipshutz to a federal judgeship. This could not be confirmed.

The elevation of Lipshutz to the federal bench and the addition of Wexler to a visibly important position on the presidential staff could help Carter strengthen what are generally regarded as two of the weakest operations in the White House.

Costanza, an outspoken former vice mayor of Rochester, N.Y., has frequently rankled senior presidential aides, who say they believe she has done little to help Carter politically in her liaison work. But as the only woman officially a member of the White House senior staff, Costanza has presented a delicate political problem to Carter aides who would like to ease her out of her present role.

Last week, during a panel discussion at the American Society of Newspaper Editors meeting in Washington Costanza suggested that she will be devoting more of her time to "women's issues," leaving other liaison work to others in the White House.

Lipshutz, a mild-mannered and like able lawyer from Atlanta, has long standing personal ties to the president. But Lipshutz, while he is warmly regarded in the White House, has often seemed out of his element in the politically sensitive post of counsel to the president.

Lipshutz, 56, is the oldest of Carter's tight-knit bank of advisers from Georgia. When his appointment was announced, it was said that he would "preside" over the presidential staff as a kind of senior mediator should conflicts develop. But that pretense of Lipshutz' role has long since been dropped, with Jordan assuming more of the functions of a traditional "chief of staff" while Lipshutz has confined himself to legal matters.

A source familiar with Carter's thinking on personnel shifts in the White House said the president "is determined not to embarrass" any of the people who may have their positions and importance diminished.

Other changes and additions to the White House staff are expected in the next several weeks. They are being implmented by Jordan after performance during the first 15 months of Carter's term.

One such change is expected to be an additional duty for presidential assistant Jack H. Watson Jr., who is secretary to the Cabinet and coordinator of intergovernmental affairs. Watson confirmed last night that he will head and interagency council that will oversee various federal programs that affect urban areas.

The council is also expected to decide which states will be eligible for incentive grants that Carter has proposed for those devising plans to aide cities.

Wexler first became prominent in national Democratic politics during Eugene McCarthy's 1968 campaign for the Democratic presidential nomination. In 1972, she worked for Sen. George McGovern's (D-S.D.) Democratic presidential campaign, and for Carter in 1976.

Wexler worked for Jordan, helping to fill administration posts, during the transition between the Ford and Carter administrations. She was at times rumored to be in line for a White House job, but eventually ended up with the third-ranking position in the Commerce Department.

Wexler's husband, Joseph Duffrey, is a former chairman of Americans for Democratic Action who is now assistant secretary of state for educational and cultural affairs.