The Liberal National Party has officially conceded defeat in last weekend's Griffith by-election in Brisbane.

LNP candidate Dr Bill Glasson says he contacted Labor's Terri Butler to congratulate her on being elected to Federal Parliament.

Voters in Griffith - an electorate covering inner-city suburbs on Brisbane's southside - went to the polls for the second time in five months.

There was a swing away from the ALP in Kevin Rudd's former seat, however Ms Butler secured 52 per cent of the vote after preferences.

Dr Glasson thanked the local community for its support.

"I have been campaigning nearly full time for the past 14 months and have enjoyed every minute of it," he said.

"It has been a privilege being able to speak to so many people in my community during that time."

He says he is now returning to his medical practice.

"[I] will continue working with disadvantaged people in remote Queensland and overseas," Dr Glasson said.

Ms Butler released a statement confirming Dr Glasson had phoned her.

"As I said on Saturday night, I congratulate Bill for a hard-fought campaign," she said.

"It was always a pleasure to deal with him when we met on the hustings.

"I'm sure his family will be looking forward to some quality time with him, and I wish him and his family well."

Ms Butler said it would be "an absolute privilege" to represent the people of Griffith in Federal Parliament.