A high-profile member of an Australian bikie gang is stranded overseas after the Federal Government refused to renew his residency visa.

Victorian Bandidos member Daniel Roach, who was born in England, is believed to be in Thailand waiting to return to Australia.

Immigration Minister Peter Dutton said the decision not to renew his visa was based on character grounds.

"I can confirm that in relation to a high-profile member of an outlaw motorcycle gang, I have taken the decision to cancel the visa in that particular case," he said.

"It's not taken lightly; I look at all the circumstances before I make a decision."

Mr Dutton said while he could not comment on individual cases, in the past he had cancelled visas where there was evidence of criminal conduct.

"Where I have evidence of people acting against the national interest, or not contributing to Australian society in a way that we would want people to contribute, then we'll act to cancel those visas wherever that's possible," he said.

In a post on Facebook, Mr Roach said he had received hundreds of messages of support.

He called the reports about his plight "media propaganda".

"Please respect what my family is going through, especially Kate and the kids because if you know me you know this is just bullshit," he said in a post.

He also said he was shutting down his Facebook page.