Zoey Ward, 43, who lived at Hope House in Milton Road, was found dead in Kingston Park in Fratton on the evening of July 23 this summer.
Police arrested a 24-year-old man on suspicion of manslaughter. He was told he faces no action. The decision was made in September but police did not release details.
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This summer Kingston Park was cordoned off as an investigation was launched after Ms Ward was pronounced dead at the scene following a ‘medical episode’.
Family friend Kim Crook from Southsea, previously said her pal was ‘a really lovable character.’
She said: ‘She was a little joker.
‘Everyone she met she would just get on with - she was really lovely.’