Roger Lloyd Pack, who was best known for his role as Trigger in Only Fools and Horses, died last week at the age of 69 following a long battle with pancreatic cancer.
The tribute, showing the name Trigger appeared on the side of a Southern train carriage while the famous BBC show's logo was adapted to say Rest in Peace.
Architect Andrew Paulson, who posted a picture of the mural on his Twitter feed, said: "I don't condone graffiti, but had to smile at this one at Tonbridge station today."
The head of Southern's head of revenue protection and security, Stella Morris, said the train had been taken out of service and that the graffiti was being removed.
"Whilst the sentiment may be welcomed by some, this is criminal damage which is being investigated by British Transport Police."
The daughter of Only Fools and Horses actor Roger Lloyd Pack has said her father "touched the hearts of many people".
In a statement, Emily Lloyd said: "I am devastated by the death of my father whom I loved dearly."He bore his terrible illness with incredible bravery and his family were at his bedside when he passed away.
"Roger has touched the hearts of many people during a career that spanned nearly 50 years on stage and screen and I want to thank everyone for their wonderful wishes."
Gwyneth Strong, who played Cassandra in Only Fools and Horses, has said "today is a very sad day,' following the news of the death of her co-star Roger Loyd Pack.
She said: "It's a very sad day. I have lost a true friend and anincredibly gifted work colleague."
Visitors to the ITV News Facebook page have been paying tribute to Only Fools and Horses actor Roger Lloyd Pack, who died last night, aged 69.
Delroy Mason said: "Nothing will ever come close to fools and horses. Del and Rodney get all the praise but it was people like Trigger who always got the biggest laughs.
I'll never forget the line about going past the pub to get to the flat to get a lift to the pub - the way it was delivered was genious. So sad. Rest in peace.
Alley Walker said: "May he rest in peace. What an absolutely lovely man, a brilliant actor and an all round nice guy. Thinking of his family at this time. God Bless X
Bryan Kirby said: "I have my box set - he will continue to make me laugh for a long while yet. Gone but never forgotten. Rest in peace Trig."
After hearing of the death of Roger Lloyd Pack, Nicholas Lyndhurst has paid tribute to his former Only Fools and Horses co-star.
He told ITV News: "I'm so saddened to hear about Roger. He was the most accomplished actor and loved by millions. I will miss him greatly.”
Actress Tessa Peake-Jones, who played Raquel in Only Fools and Horses, has paid tribute to Roger Lloyd Pack who died last night aged 69.
She said: "Roger was an incredibly versatile actor but his understanding of the character Trigger was always filled with enormous humour whilst never straying from the truth. He was a very kind man and I will always remember him with admiration."
Roger Lloyd Pack was responsible for one of the most celebrated phrases in British comedy, with his Only Fools and character Trigger repeatedly calling Rodney 'Dave':
David Jason has paid tribute to his Only Fools and Horses co-star Roger Lloyd Pack:
Despite appearing as a successful stage actor and in numerous television and film dramas, Roger Lloyd Pack knew he would always be best known as Trigger.
Roger Lloyd Pack died at home in London last night surrounded by his family following a long battle with pancreatic cancer.
In a 2012 interview with the Guardian, he said: "People will never stop shouting "Trigger!" at me in the street.
"The other day I jumped some lights on my bike because someone was hollering at me. A police van pulled me over, and when I stopped they also shouted: "Trigger!". It can be very annoying."
John Challis, best known as Boycie in Only Fools and Horses, has called Roger Lloyd Pack "remarkable" and "irreplaceable":