The alarm was raised after a dog dragged a human arm and hand out of undergrowth, before other badly decomposed body parts were spotted.
The grisly discovery of human remains including a head and torso found hanging from a tree is at the centre of a police investigation.
The alarm was first sparked when an arm and hand were found by a dog in woods in the middle of Meyrick Park Golf Club in Bournemouth, Dorset, on Monday.
The pet dragged the gruesome remains out of the undergrowth in its mouth towards its shocked owner, who called police.
Officers dashed to the scene and seconded golf buggies to make their way on to the course while bemused golfers looked on.
During further searches of the area today more body parts, thought to be a head and torso, were found hanging from a tree about 40ft up.
A police spokesman confirmed the remains were badly decomposed human flesh and bone of an adult that had clearly been there for some time.
Tests are being carried out on the remains to establish if they are male or female but police said they are not treating the death as suspicious at this stage.
It is believed the remains belong to someone who had hanged themselves from the branches of a tree in a clump of woodland in the centre of the course.
Holes three, four and five which form a horseshoe-shape around the tree at the 120 year old course have been closed.
Detective Inspector Mark Samuel, who is leading the investigation, said officers are looking into cases of missing persons in a bid to identify the remains.
He said: “A member of the public was walking a dog across the golf course when a discovery was made of what we believe is a human hand.”
“As a result we cordoned off a certain area of the golf course and a search is continuing.”
“We have employed the use of a specialist dog team from South Wales police and they are trained in recovering body parts.”
“We have found what we believe are additional body parts up a tree in the wooded area at the side of the golf course.”
“It’s very high and we have got a specialist team of officers assessing the site at the moment so we can recover the body parts with dignity and preserve any evidence.”
“At this stage its the assessment of the site and then clearly to identify the body so we can inform any relevant next of kin and also to investigate the cause of death on behalf of the coroner.”
The body parts that have been recovered have been taken away by a private ambulance for examination.
Local dog walker Helen Johnson said: “It’s horrible. A dog discovered it in the woodland and brought it out.”
Another dog owner said: “Everyone who walks up here has said itâs an arm or hand.”
“It’s not very nice at all and it’s quite creepy to think it has been in the woods for a long time without anyone knowing.”
Meryck Park Golf Club is close to Bournemouth town centre and is a public course but membership costs about Â£600 a year.
The holes affected by the grim find are the long par four third, the par three fourth and the fifth, which is a short par four.