Bob Saget died from an accidental blow to the head, his family have said.
The comedian was found dead in a hotel room in Orlando, Florida, on 9 January.
In a statement, his family said: "Now that we have the final conclusions from the authorities' investigation, we felt it only proper that the fans hear those conclusions directly from us.
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"The authorities have determined that Bob passed from head trauma.
"They have concluded that he accidentally hit the back of his head on something, thought nothing of it and went to sleep.
"No drugs or alcohol were involved.
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"As we continue to mourn together, we ask everyone to remember the love and laughter that Bob brought to this world, and the lessons he taught us all: to be kind to everyone, to let the people you love know you love them, and to face difficult times with hugs and laughter."
The 65-year-old actor and comic was best known for starring in the sitcom Full House, as well as playing the narrator in How I Met Your Mother.
Saget had just embarked on a tour of the US prior to his death, performing the night before in Jacksonville, Florida.
Posting on Instagram after the show, he said had 'loved' the performance and was 'addicted' to the job.
Whoopi Goldberg, Steve Martin, and Jim Carrey were among the high-profile celebrities to express grief and shock over the news.
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British comedian and Great British Bake Off presenter Matt Lucas called Saget a 'magnificently naughty comedian'.
"In terrible shock of the horrible news of Bob Saget's sudden passing," Lucas tweeted.
"He was a warm, kind, humble man and a magnificently naughty comedian, always treading the line so deftly. He will be greatly missed."
Carrey wrote: "Beautiful Bob Saget passed away today at 65. He had a big, big heart and a wonderfully warped comic mind. He gave the world a lot of joy and lived his life for goodness' sake."
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Saget's wife Kelly Rizzo described him as 'the best man I've ever known' and his daughter, Lara Saget, said her father 'loved with everything he had'.
Topics: US News