North Queensland state MP Jason Costigan has been suspended by his party after a harassment complaint was lodged by a member of the public.

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

"Mr Costigan will be suspended until the LNP state executive meets on Friday," Mr Hutchinson said.

"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.

"The LNP expects its elected representatives to uphold at all times the highest standards.

LNP leader Deb Frecklington echoed the president's comments, saying Mr Costigan, the Member for Whitsunday, had failed to meet the standards of the party.

"I have set standards for the LNP team I lead. Jason Costigan has failed to meet those standards," she said.

"I demanded strong actions from the LNP in relation to the complaint against Mr Costigan and the LNP has acted strongly."

Mr Hutchinson thanked Ms Frecklington for making it clear she set a high bar for "members of her future government".

"The party's leadership wholeheartedly supports this position," he said.

The ABC contacted Mr Costigan for comment.