WASHINGTON, April 23 — To settle a lawsuit, the Department of Veterans Affairs has agreed to add the Wiccan pentacle to a list of approved religious symbols that it will engrave on veterans’ headstones.

The settlement, which was reached on Friday, was announced on Monday by Americans United for the Separation of Church and State, which represented the plaintiffs in the case.

Though it has many forms, Wicca is a type of pre-Christian belief that reveres nature and its cycles. Its symbol is the pentacle, a five-pointed star, inside a circle.

Until now, the Veterans Affairs department had approved 38 symbols to indicate the faith of deceased service members on memorials. It normally takes a few months for a petition by a faith group to win the department’s approval, but the effort on behalf of the Wiccan symbol took about 10 years and a lawsuit, said Richard B. Katskee, assistant legal director for Americans United.