Queensland federal MP George Christensen will not face electoral bribery charges following an Australian Federal Police probe into one of his Facebook posts during the recent election campaign.

Mr Christensen, who was re-elected last month as the member for the Mackay-based seat of Dawson, had pledged to donate $12,000 to a local turtle rescue group in the event of his re-election.

The Australian Federal Police will not pursue Dawson MP George Christensen over electoral bribery allegations. Credit:Alex Ellinghausen

The Liberal National Party MP withdrew the offer following a complaint by left-leaning activist group GetUp, which alleged electoral bribery on Mr Christensen's part, to the Australian Electoral Commission.

The AEC subsequently referred that complaint to the AFP and an AFP spokesman said on Monday Mr Christensen had no case to answer.