A son of film director Rob Reiner and Michele Singer Reiner has been arrested and is being held on suspicion of murder after the couple were found dead in their Los Angeles home.

The Los Angeles Police Department said on Monday that Nick Reiner, 32, had been arrested and that he was in custody with no bail.

The deceased couple's 28-year-old daughter, Romy, found her parents in their home with multiple stab wounds on Sunday, sources told the BBC's US partner CBS News.

Rob Reiner was known for directing several iconic films in a variety of genres, including When Harry Met Sally, This is Spinal Tap, Stand By Me, Misery and A Few Good Men.

The case is expected to be presented to the Los Angeles County District Attorney's Office on Tuesday, when prosecutors will decide about filing charges.

Emergency services were called to provide medical aid at the Reiners' home in Brentwood, California, at about 15:38 local time (23:38 GMT) on Sunday. The Los Angeles Fire Department said two people - later identified as Rob Reiner, 78, and his wife Michele, 68 - were pronounced dead at the scene.

Police said Nick Reiner was arrested several hours later, at about 21:15 local time. Investigators have not publicly outlined a motive, and say the investigation is ongoing.

Nick Reiner has spoken publicly about his struggles with addiction and homelessness. His experiences formed the basis of the semi-autobiographical film Being Charlie, which he made with his father in 2015.

The family's home is in Brentwood, a wealthy celebrity enclave full of large mansions, boutique shops and restaurants. On Monday morning, a security guard stood outside the home as media gathered outside the front gate.

Michele Reiner was an actress, photographer and producer, and the founder of Reiner Light, a photography agency and production company.

Rob Reiner was also known for his outspoken political activism and support for Democratic candidates. In a post calling their deaths very sad, President Donald Trump criticized Reiner, saying that they reportedly died due to the anger he caused others through his massive, unyielding, and incurable affliction with Trump Derangement Syndrome.

Trump's post was met with anger by some of the Reiners' friends, with former California first lady Maria Shriver expressing sadness for the couple's tragic passing.