Banana Mint This page first published: Apr 27, 2005 · Updated: Jun 14, 2018 · by CooksInfo. Copyright © 2020 · This post may contain affiliate links · This blog generates income via ads · Banana Mint grows 15 to 18 inches (38 to 45 cm) tall. It has pale green leaves and pale purple flowers. Some people think they can detect a faint banana scent comes when leaves are crushed. History Notes Developed in France.