The Arts Endowment and the Office of Education have agreed to turn their arts-education programs over to a "senior official," not yet named, who will work for both agencies at once.

Their agreement was announced yesterday at a meeting of the Federal Council on the Arts and the Humanities, a once-moribund board that now, under the direction of Joan Mondale, its honorary chairman appears to be determining the government's cultural policies.

Meanwhile, both the Arts and Humanities Endowments, have agreed, at her urging, to screen all the cultural programs which the International Communication Agency will present overseas Mrs. Mondale's power and the involvement of both Endowments with other U.S. agencies apparently will increase. High officials from GSA, the new Institute of Museum Services, and the departments of Commerce Transportation and Housing and Urban Development soon will join her board.

"For years," said Mondale, "people concerned with arts education would go to the Endowment and hear, 'Oh education - you must want the Office of Education.' At that office they would hear, 'Oh, arts - you must want the Endowment.'" According to a White House memorandum of agreement, "a senior official will be given the responsibility for policy development and program direction of both agencies' efforts in arts education artist training and career development."

The Council has established a "working group on museum policy." In order to discourage duplicate funding of museum programs, the working group has asked each museum-supporting agency to tell itw applicants to list "other federal funding sources to which they have applied." The working group will hold an open meeting with museum representatives soon.

Under the Arts and Artifacts Indemnity Act, the Council insures foreign exhibits - such as the Tut and Dresden shows - sent to the U.S. The maximum insurance is $50 million, with a $15,000 dedutible provision. In fiscal 1977 17 exhibits worth $131,626,121 were insured. (Commercial premiums for such coverage would have cost $5 million.) No claims have yet been made.