NASSAU, Bahamas -- The 20-year-old son of Anna Nicole Smith has been found dead in a hospital in the Bahamas, where the former reality TV star and Playboy playmate gave birth to a baby girl.

Authorities had not determined what caused the death of Daniel Wayne Smith, whose body was found Sunday morning, said Robin Bonnema, a spokeswoman for Trimspa, the diet products company that has been endorsed by Smith. Bonnema had no other details, and calls to Smith's lawyer, Howard K. Stern of Santa Monica, Calif., were not immediately returned.

Bonnema declined to provide details, saying only that Smith died "in his bed."

A statement on Smith's Web site said the son died suddenly.

"We have yet to learn the cause of death but do not believe that drugs or alcohol were a factor," the statement said. "Anna Nicole is absolutely devastated by the loss of her son. He was her pride and joy and an amazing human being."

Walter Evans, a spokesman for the Royal Bahamian Police Force, would say only that the son of an undisclosed celebrity had been found in a room of the private Doctor's Hospital in Nassau.

Anna Nicole Smith, 38, gave birth to a healthy 6 pound, 9 ounce girl at the hospital on Thursday, her Web site said.

Her son had traveled to the Caribbean country "to share in the joy of his baby sister," the statement said. "Please do not make any press inquiries at this time so that Anna Nicole can grieve in peace."

Smith married Texas oil tycoon J. Howard Marshall II in 1994, when she was 26 and he was 89. He died the following year. In March, the Supreme Court upheld Smith's right to a bequeathment of $474 million, though legal battles with Marshall's son, Pierce Marshall, have continued.

Daniel Smith had small roles in her movies "Skyscraper" and "To the Limit." He also appeared several times on the E! reality series "The Anna Nicole Show."

Bonnema said she did not know the name of Daniel Smith's father or that of the baby girl.