It is named after Baron Freyberg who was a prominent soldier and the first New Zealand-raised Governor-General of New Zealand.

[2] It now contains a pōhutukawa tree, some nīkau palms and many concrete steps which double as seating.

Contained within the square is an ornamental fountain and statue of Baron Freyberg in his World War 2 attire.

Later, in 2018, it was proposed that this be converted completely to a pedestrian mall with bollard access available to emergency vehicles only.

It is adjacent to Chancery Square and serves as frontage to the Ellen Melville Centre which was opened in 1962.