Patrick E. Felker, 42, a retired management analyst for the Department of the Interior, died of cancer Thursday at his Arlington home.

Mr. Felker, who retired in 1976 because of failing health, began his government service in 1959 as a management intern with the Internal Reveneu Service. He then worked as a management analyst for the departments of the Air Force and the Navy and for the Secret Service.

In 1968, he joined Interior, where he worked in the Office of Manpower Training and Youth Activities. From 1970 until his retirement, he was responsible for the coordination and management of the Youth Conservation Corps' grant program.

Mr. Felker was born in Washington and attended Gonzaga High School. He graduated from St. John's University in Collegeville, Minn., in 1958, and moved to Washington the following year.

Survivors include his wife, Patricia, a daughter, Deborah, and a son, Edwin, all of the home in Arlington; his mother, Mary A. Felker, a sister, Margaret, and a brother, Timothy, all of Arlington, and a sister, Martha Kiger, of Texas.

The family suggests that expressions of sympathy may be in the form of contributions to the Patrick E. Felker Memorial Fund c/o Hospice of Northern Virginia, 3809 N. Military Rd. Arlington, 22207.