Senior Victorian Australian of the Year, Indigenous elder Jack Charles, is considering legal action after being refused a taxi ride for the second time in a week.

Mr Charles's manager, Patrice Capogreco, said the pair had arrived at Melbourne Airport from Adelaide at 3:00pm on Friday afternoon, and were lining up at the taxi rank.

"The attendant allocated us a bay, and the bay had a taxi waiting," she said.

"I was on my phone and Uncle Jack walked ahead, and as he approached the cab to get in, it took off."

Ms Capogreco said there was no apparent reason for the taxi to drive off.

"He didn't move forward to another bay, there were no other passengers ahead of him, he just took off at the airport," she said.

"It all happened so quickly, the attendant who was monitoring the rank was horrified at what had happened and quickly got us another taxi."

Earlier this week, after Mr Charles and Ms Capogreco were leaving the Victorian Australian of the Year awards ceremony, he was asked by the driver to pay upfront, despite having a CabCharge.

Second taxi refusal in a week

Ms Capogreco would not go into what legal action the actor was considering, but she said Mr Charles felt something needed to be done.

"The ride home from the airport was a very distressing journey, he's gone home to rest, at this stage he doesn't want to talk about this anymore, he just wants to see some action, some change," she said.

"He stole the show today at the Jobs Australia event [in Adelaide], everyone loved him after his talk, and we'd come back to Melbourne so happy, and just like Wednesday, just knocked for six.

"Uncle Jack has had a really hard life, and it takes a lot to knock him about, and I don't see him like this very often, but he was really distressed today."

Ms Capogreco said they usually avoid taxis in favour of car-sharing service Uber.

"We don't experience this with Uber, but on Wednesday night, as well as today, we had CabCharges for our travel, which you can't use with an Uber," she said.

Ms Caprogreco said she felt like Victorian Taxi Services Commission were taking the situation seriously.

But she said she would like to see the industry implement awareness training around "the history of the country and a sense of respect of Indigenous Australians".

"I said to the commission today, we're here as a resource, we can give you recommendations, we can give you suggestions," she said.

In 2013 Mr Charles was refused a fare in Sydney while performing a show at Belvoir Street Theatre.

"This is a repeated conversation, that happened back in 2013 and it just feels like it's falling on deaf ears, but I'm hoping after this week, that we will see some change," Ms Capogreco said.