Fisher, 60, and her mother Reynolds, 84, both passed away last week.
In addition to the private service for family and close friends, a public memorial for the pair is also being planned.
“Star Wars” actress Fisher died Dec. 27 at age 60, after she suffered cardiac arrest while flying from London to Los Angeles. Reynolds died the following day at age 84.
According to a TMZ report, Fisher and Reynolds will be buried side-by-side during a joint funeral service at Forrest Lawn cemetery in Burbank, California.
While an autopsy has been performed on Fisher, the L.A. County Coroner’s Office will conduct further tests to determine what caused Fisher’s cardiac arrest, according to TMZ.
On Monday, Fisher’s daughter, actress Billie Lourd, took to Instagram to pay tribute to her mother and her grandmother.
“Receiving all of your prayers and kind words over the past week has given me strength during a time I thought strength could not exist. There are no words to express how much I will miss my Abadaba and my one and only Momby. Your love and support means the world to me,” Lourd captioned an image featuring the three generations of Hollywood entertainers.