Mr. and Mrs. Robert Carr Doyle of Chevy Chase, Md. announce the engagement of their daughter, Nancy Carr, to John Spencer Palmer of Washington, D.C., son of the late Mr. and Mrs. Spencer E. Aplmer of Kingsport, Tn.

Miss Doyle, a news assistant with NBC Nightly News in this city, attended the National Cathedral School and graduated magna cum laude from Boston University. Her father is Chairman of the Board of the Delmarva Broadcasting Company and television consultant for the American Enterprise Institute. He was Chief of Television for the National Geographic Society. Miss Doyle's grandmother, Mrs. Henry Grattan Doyle of Washington, was former president of the Board of Education for the District of Columbia and her grandfather, the late Mr. Doyle was Dean of Columbia College of George Washington University.

Mr. Palmer is White House correspondent for NBC News and this year's recipient of the Merriman Smith Award for excellence in Presidential reporting. Prior to this he was NBC correspondent to Beirut and Paris, was graduated from Northwestern University and received his master's from the Columbia University Graduate School of Journalism. His father was executive vice-president of Eastman Chemical Products, Inc., a division of Eastman-Kodak in Kingsport.

A fall wedding is planned.