Paul K. Cook, 62, a leading State Department authority on internal Soviet affairs who held a number of high research and intelligence positions in the course of a government career extending more than 30 years, died Nov. 8 at Mount Vernon Hospital in Alexandria after a heart attack.

Mr. Cook, a resident of Alexandria, began his career at State in 1951. From 1953 to 1962, he was a specialist on communist affairs at the Library of Congress. He then returned to the State Department and in 1964 was named chief of internal Soviet affairs in the Bureau of Intelligence and Research.

From 1967 to 1969, he was a political officer in the U.S. Embassy in Moscow. At the end of that assignment he went back to the Bureau of Intelligence and Research, where in 1975 he became director of political research on the Soviet Union and Eastern Europe.

During the Carter administration, he gave daily briefings to Marshall D. Shulman, the special adviser on Soviet affairs to Secretary of State Cyrus R. Vance. From 1979 until his retirement in 1985, Mr. Cook was special assistant to the director of intelligence and research for Soviet and East-West affairs.

In the year he retired, Mr. Cook played an important role in establishing the Soviet Interview Project, in which emigres from the Soviet Union are asked to describe everyday conditions in their homeland.

In 1983, Mr. Cook helped draft legislation under which federal funds are used to assist American scholars and officials in studies of Soviet and East European affairs. For this he received the State Department's Superior Accomplishment Award.

Mr. Cook was born in Evanston, Ill. He served in the Army infantry in Europe in World War II and was attached to the U.S. war crimes commission at the end of the conflict. He was a Phi Beta Kappa graduate of Northwestern University and he received a master's degree from the Russian Institute at Columbia University. He moved to the Washington area in 1951 when he began his career at State.

Mr. Cook was a founding member and former president of the Washington chapter of the American Association for the Advancement of Slavic Studies, and he served on the national board of directors of the parent organization.

Survivors include his wife, Molly Kim Cook of Alexandria, and four children, Wilson Kim Cook of Arlington, Liese Kristian Southerland of Centreville, Va., Tracy Katherine Sunkel of Blacksburg, Va., and Patricia Kearney Iwasevic of Sacramento, Calif.

ANNA GROVE DAVIS, 92, a Washington native and former employe of the Veterans Administration, died of cardiac arrest Nov. 8 at the Maple Farms nursing home in Akron, Pa.

Mrs. Davis, who lived in Washington until moving to Pennsylvania in 1981, was a clerical employe of the VA in the 1930s and 1940s. She was a member of All Souls Episcopal Church.

Her husband, Donald H. Davis, died in 1968. Survivors include one stepdaughter, Mrs. Charles Remsberg of Oakland, Calif.