Known as Tarby, the 83-year-old pleaded guilty to driving without due care and attention, failing to stop and give his name and address after a road accident and failing to report the accident.
The accident would have occurred a few days after his sister's funeral.
The television star was filmed on a doorbell driving his Lexus away from a row of damaged vehicles on May 15, it has been reported.
He damaged vehicles, including a Vauxhall Corsa, while driving in Coombe Gardens, Kingston Upon Thames, near his home.
During a hearing at Lavender Hill Magistrates' Court on Tuesday, chair of the bench Dr Samantha Cobb said magistrates took into account that Tarbuck had 'recently lost his sister and had attended her funeral in the previous few days'. , Online Mail reported.
The outlet also made it clear that Tarbuck pleaded guilty to the crimes by mail and did not appear in court, but sent a letter to the court apologizing for his actions.
A document containing the court findings recorded that Tarbuck was fined £716 and his driving record was endorsed with five penalty points.
He was also ordered to pay £110 in costs and a £286 victim surcharge.
Prosecutor Laura-Ann Harding told the court the incident occurred at around 3.30pm: “The defendant was driving a vehicle without due care and attention.
'They collided heavily with stationary vehicles, causing serious damage and at the same time there was an accident with another vehicle, a Vauxhall Corsa and they were unable to stop when asked and give their name and address.
'Several vehicles were hit and one was driven three houses. No one was injured as all vehicles were parked and empty at that time.'
Chair of the bench, Dr Samantha Cobb, said: 'We have read his mitigation and the bench fully accepts that he is remorseful and deeply remorseful.
'We accepted that this was not entirely in keeping with his character and took into account that he had recently lost his sister and that this had been her funeral in the previous few days.'
'He says he can't explain why he didn't stop that day.'
Liverpool-born Tarbuck rose to fame in the 1960s and was known for presenting variety shows including Sunday Night At The London Palladium and Live From Her Majesty's.
He appeared on television screens in August paying tribute to chat presenter and friend Sir Michael Parkinson whilst speaking on Good Morning Britain.
He was a guest on the same show in 2020, during which he discussed his prostate cancer diagnosis.
'I just enjoyed his company. And he was simply, my dear friends, a giant. A giant of our industry, by God – I’m getting choked up right now,” he said of his late friend. “He was a giant friend. And he was a great friend to me.
Do you have a story?
If you've got a celebrity story, video or pictures get in touch with the Metro.co.uk entertainment team by emailing us firstname.lastname@example.org, calling 020 3615 2145 or visiting us Send stuff – we love hearing from you.
MORE: Nish Kumar: 'TV world won't change despite Russell Brand allegations'
MORE: Netflix documentary causes huge increase in cosmetic surgeries