Dr. Joachim A. K. Kluger, 52, who had been an area ophthalmologist since 1957, died Friday in a hospital in Elkins, W.Va., after a heart attack. He had been on vacation.

In addition to maintaining a private practice in Silver Spring, Dr. Kluger had served on the staff of Holy Cross Hospital since 1963. He also had been chief of an eye clinic at the Washington Hospital Center, where he was active in the Eye Residency Training Program.

He was a member of the District, Maryland, and Montgomery County medical societies and was a fellow of the American Academy of Ophthalmology and Otolaryngology, and the Maryland Academy of Ophthalmology.

Dr. Kluger was a native of Germany, where he earned a medical degree at the University of Wuerzberg. He came to this country in 1954 and interned in a Detroit hospital before coming to Washington. He completed his residency in ophthalmology at the old Episcopal Eye, Ear and Throat Hospital in 1957.

He was a resident of Silver Spring.

Survivors include his wife, Johanna, two daughters, Annette and Barbara and a son, Mathias, all of Silver Spring; his mother, Hertha Kluger, a sister, Herma Walter, and a brother, Dr. Wulf Kluger, all of Germany.

The family suggests that expressions of sympathy be in the form of contributions to Holy Cross Hospital in Silver Spring.