Green's biographical entry in the 1914 Canadian Parliamentary Guide lists him as "apparently the first Hebrew to take a seat in any Legislature in Canada".
This is incorrect: Ezekiel Hart, who was in fact related to him, was elected to the Legislative Assembly of Lower Canada in 1807 and 1808, although he was expelled from his seat because he was a Jew.
He was president of the Winnipeg North Liberal Association in 1930, and supported his party's decision not to field a candidate against Labor incumbent Abraham Albert Heaps in that year's federal election.
The Liberals nominated a candidate in Winnipeg North for the 1935 election, and on this occasion Green campaigned against Heaps on the grounds that the latter was a socialist.
The University of New Brunswick's Faculty of Law now offers Hart Green Scholarships as entrance awards, in his honour.