The park, which is owned and managed by the corporation is taking part in the Centenary Poppy Campaign, a national initiative of the Royal British Legion, to commemorate the hundredth anniversary of the start of the Great War.
The poppy meadow was sown in October 2013 with the help of children from local primary schools. The corporation is also growing poppies Golders Hill Park, Queen’s Park, and within the Square Mile.
Woolf said: "With these poppies we reflect on our great shared loss – and honour the memory of each young man, among the millions, who marched away never to return."
Woolf is a partner at City law firm CMS Cameron McKenna LLP and the head of the City of London Corporation which runs 4,451ha of green space in London.
It recently sponsored a show garden at RHS Chelsea Flower Show to highlight the issue of oak processionary moth.