Frank Mitchell, 75, a retired chief of the press and information office of the British Embassy and then an official of the European Free Trade Assciation in Washington, died Saturday in Cambridge, England.

The British Embassy said Mr. Mitchell was on holiday when he died. No cause of death was given. He lived in the Washington area from the time of his appointment to the British Embassy in 1957 until last year, when he movved to Claiborne on the Eastern Shore of Maryland.

Mr. Mitchell was born on the Isle of Wight, England. He worked on newspapers in London until the mid-1940s, when he joined the press department of the British Foreign Office.

From 1947 to 1952, he headed the news division of the British Information Service in New York. He then was assigned to Los Angeles. He returned to London in 1955, and the following year was transferred to Chicago.

As head of the press and information office for the British Embassy here. Mr. Mitchell helped arrange media coverage of the state visit of Queen Elizabeth II and the Duke of Edinburgh in 1957, and for events such as the summit meetings between Prime Minister Harold Macmillan and President Eisenhower in 1959, and between Macmillan and President Kennedy at Nassau in the Bahamas in 1962.

He retired from British government service in 1964, and was made an Officer of the Order of the British Empire.

From 1964 to 1969, when he retired a second time, Mr. Mitchell was assistant chief of the Washington office of the European Free Trade Association. Until last year, he maintained a home in Kensington, Md., as well as one in Claiborne.

His survivors include his wife, Betty, of the home in Claiborne; two children Dr. Elizabeth Marseglia, of Cambridge, England, and Paul Mitchell, of Hamilton, Ontario, and three grandchildren.