Joseph Graham O'Connor (1839 – 22 July 1913) was an Irish-born Australian politician.
He was born at Dareen House in Kings County, Ireland, to tanner Stephen O'Connor and Anne Graham.
He migrated to Australia in 1841 and became an apprentice wood engraver and printer.
He married Mary Earl in 1861; they had a daughter.
In 1873 he was elected to the New South Wales Legislative Assembly for Mudgee, but he was defeated in 1874.