It was one of several parks that were closed by Redbridge Council in east London after the storm on 28 October.
Arborists found that more than 2,500 trees needed safety inspections in Valentines Park.
Across the borough more than 100 trees were reported felled by the storm, some causing road blockages and damage to cars and structures.
Redbridge Recreation Ground remains closed.
Valentines Park was voted last year into the UK’s top ten parks by Keep Britain Tidy for being a "landmark of beauty, history and ecology."
Residents and a local councillor complained to the council about the continued closure of the park.