Former Queensland Premier Wayne Goss is recovering well from his third brain operation, a spokesman for his family says.

Mr Goss underwent neurosurgery in 1997 and again in 2002 to remove a low-grade malignant brain tumour.

On Wednesday, the day after his 62nd birthday, he went under the knife again.

Family spokesman Russ Morgan said surgeons told them the operation had gone well and Mr Goss was now recovering at Brisbane's Mater Hospital.

The former Labor premier and his wife Roisin thanked the public for "all the messages and good wishes we have received".

Mr Goss first underwent brain surgery in September 1997 after complaining of a severe headache when he returned from a bicycle ride.

He was operated on within days and made a full recovery, leaving politics and takingup a job as managing partner at accounting firm Deloitte.

Mr Goss was first elected to state parliament in 1983 and served as premier from 1989 to 1996.