The 34-year-old was attacked in broad daylight in a park area in Fareham, Hampshire.
A 20-year-old man from the town has been arrested on suspicion of being in charge of a dog dangerously out of control, police have said.
The breed of the animal is currently unknown.
The attack took place at a recreation ground by Hillson Drive at around 10.30am on Wednesday.
Paramedics pronounced the man dead at the scene.
A Hampshire Constabulary spokesman said: 'We are speaking to people in the area and carrying out other lines of enquiry to establish how the man died.
'As part of our enquiries a 20-year-old man from Fareham has been arrested on suspicion of being the owner/person in charge of a dog dangerously out of control causing injury resulting in death.
'He has been released from custody without charge but remains under investigation while enquiries continue.'
The victim's family have been informed and he has not yet been named by police.
The market town of Fareham lies halfway between the cities of Southampton and Portsmouth.
Last week, a child was left with life-changing injuries after being bitten by a dog in an attack just ten miles away from Fareham.
The three-year-old was attacked in the town of Havant.
She was taken to Queen Alexandra hospital for treatment where her injuries were described as life-changing.
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