A murder investigation is underway after the body of a woman was found in Brisbane's CBD on Sunday.

A passer-by discovered the body behind a dental school in Wickham Park off Albert Street at 4:30am (AEST).

Investigators say the woman suffered brutal head injuries and was left on a stairway bordering the park.

They say the woman had no identification on her and it is too early to determine if she had been sexually assaulted.

Investigators are reviewing security footage in the area to try to identify possible suspects.

Detective Acting Inspector Tom Armitt said police have spoken to several people who were in the area at the time but have no suspects.

"We are canvassing all persons who were present at the time to determine whether they were witnesses," he said.

"Police are appealing for members of the public who were in the area between 3:30am and 4:30am to come forward.

"No matter how scant the detail of the information we would really appreciate them contacting us."

Anyone with information that could assist police is urged contact Crime Stoppers anonymously on 1800 333 000 or via crimestoppers.com.au.