LNP Whitsunday MP Jason Costigan says he is considering suing for defamation in the wake of the party's move to suspend him over a harassment allegation.

Key points: Jason Costigan says he is consulting a lawyer because "nothing bad happened"

Jason Costigan says he is consulting a lawyer because "nothing bad happened" LNP Leader Deb Frecklington referred the matter to police

LNP Leader Deb Frecklington referred the matter to police The LNP will meet on Friday to discuss whether to expel the MP from the party

The LNP's state executive is meeting on Friday to consider expelling Mr Costigan from the party after the family of a young woman complained to police and the LNP over the MP's alleged behaviour.

The party announced on Wednesday night it had suspended his membership as a result of the allegation.

Opposition Leader Deb Frecklington then revealed on Thursday she had forwarded the matter to police.

Ms Frecklingon said she demanded swift action from the LNP after receiving the complaint which related to an incident interstate earlier this month.

"The complaint made against Mr Costigan is serious and it relates to his conduct towards a young woman whilst he was on holidays," she said.

"The complaint has been investigated by the LNP disputes committee.

"They have found that Mr Costigan has breached sections of the party constitution that will bring the party into disrepute."

'Nothing bad happened'

At an extraordinary press conference on Thursday afternoon, Mr Costigan admitted meeting the woman but told reporters he did nothing wrong.

He said while on holiday interstate he had been invited to stay at a home belonging to the grandparents of the woman at the centre of the complaint.

Deb Frecklington has forwarded the complaint against Mr Costigan to Queensland police. ( ABC News: Leonie Mellor )

"I had no shirt on and almost straight away after introducing myself, she didn't expect me to be there and I didn't expect anyone to turn up, I went and put one of my favourite Cowboys jerseys on," he said.

"Nothing bad happened, nothing sinister happened.

"Yeah, we took some selfies. How many of you people know I love a selfie? I love a photo, you all know that ... [I] put the old arm around. She didn't look anything (sic) in terms of intimidation, or concern or worry.

"She was happy as Larry from my recollection."

He said he had consulted a defamation lawyer.

"These are baseless allegations and we will be pursuing the matter through the courts like there is no tomorrow," Mr Costigan said.

The MP then showed reporters photos taken of him and the woman involved.

He said he intended to stay on as the Member for Whitsundays.

Jason Costigan uploaded a video of him with two women promoting International Bikini Day. ( Facebook: Jason Costigan MP )

Premier Annastacia Palaszczuk said she expects a thorough investigation by the Opposition.

"Obviously for the LNP to take action, they must have been serious," she said.

"There have been concerns raised about him."

In July, Deputy Premier Jackie Trad accused Mr Costigan of being a "sleazebag" after posing with women on the beach for International Bikini Day.

"This isn't just inappropriate, it's sleazy. It needs to stop," she said on social media at the time.

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Mr Costigan hit back at the Deputy Premier's comments, telling Channel 10's The Project the situation was overblown.

"I'm no sleazebag but I will stand up for the tourism industry in north Queensland," he said.

"We have a lot of creepy things in north Queensland — snakes and spiders and what not, but I'm not one of them."

During the broadcast, Mr Costigan removed part of his shirt to reveal his chest after being prompted by presenters in light of Bikini Day.

In a statement issued late on Wednesday, interim LNP state president Dave Hutchinson said the decision to suspend the MP was made by the president's committee after the party investigated the complaint.

"I do not intend to canvas the detail of the complaint. The decision to suspend the party membership of a sitting MP is a very serious one, and has not been taken lightly," he said.