The park is bordered by Eighth Avenue, Bank Street, Hudson Street and West 12th Street.
The quarter acre green space is one of New York City's oldest parks. It is maintained by the Abingdon Square Alliance, a community-based park association, in cooperation with the New York City Department of Parks and Recreation.
New York City acquired the land on which the park resides on April 22, 1831, and it was enclosed with a cast iron fence in 1836. In the 1880s, an effort was initiated by Mayor Abram Stevens Hewitt to expand public access to parks. Architect Calvert Vaux was part of a group that created a new design for Abingdon Square.
On August 3, 2009, a small garden was established as a memorial to Adrienne Shelly, an actress and film producer who was slain in her office located in 15 Abingdon Square.
from: Wikipedia
I found the garden a true urban oasis. One of the nicer small gardens I've come across.