It is possible that this street was named after George Curzon, 1st Marquess Curzon of Kedleston. His maiden speech in the House of Commons in 1886 was mostly an attack on Home Rule and Irish Nationalism. Another possibility is that it belongs to a cluster of streets in this neighbourhood named after Royal Navy admirals—Cadogan Street, Collingwood Avenue/Road and Penrose Street—in which case it would commemorate Admiral Henry Curzon (1765-1846). The apparent tight themed cluster of four names speaks in favour of a name honouring Admiral Curzon. On the other hand, it must be borne in mind that Curzon Street was named more than half a century after his death, whereas Marquess Curzon was active in politics at this very time. The matter is, therefore, unresolved.
“That on the application of the owners, the Martin Estates Company Ltd, two new streets on their property situate off Donegall Road be named Kitchener Street and Loudan Street and three new streets on their property, situate off Agincourt Avenue, Collingwood Avenue, Cadogan Street and Curzon Street. (12th October 1898).”
Curzon Street is listed in The Belfast And Province Of Ulster Directory 1899 with the additional description indicating the left hand side of the street was still being built.