Todd Fisher said the actresses will be interred at Forest Lawn-Hollywood Hills, the final resting place of numerous celebrities, including Lucille Ball, Dick Van Patten, Liberace, Florence Henderson, David Carradine and Bette Davis.
The son said no date for the funeral has been set, but it will be private. A public memorial is being contemplated, but no plans have been finalized.
Earlier Friday, the Los Angeles coroner's office released Carrie Fisher's body to her family. Chief of Operations Brian Elias says an examination of Fisher was done, but he stopped short of calling it an autopsy and would not provide any details on what tests were done.
Elias said no timetable for when an official determination on what killed Fisher would be made.
Todd Fisher said the family wasn't clear on what coroner's officials had done during the examination, but was glad his sister's body had been released to Forest Lawn. "My mother and my sister are together right now," he said.
Carrie Fisher, 60, an actress and writer who starred as Princess Leia in the original "Star Wars" trilogy, died Tuesday after suffering a medical emergency Dec. 23 aboard a flight from London. Reynolds, 84, an Oscar-nominated actress who shot to fame after starring in "Singin' in the Rain" at age 19, died Wednesday after being briefly hospitalized.
"She said, 'I want to be with Carrie,'" Todd Fisher, told the Associated Press. "And then she was gone."