Babos made 45 appearances for the Puritans last season and scored in a 3-2 win at Edgar Street.
"Alex is a player who, after speaking to him about the possibility of joining our club, was really hungry, enthusiastic and excited to become part of our rebuild moving forward," said manager Paul Caddis.
"After a successful season at Banbury in 22/23, in which he showed the robustness and fitness base that is needed to be a part of my squad by making more than 50 appearances, I am absolutely delighted to have secured his signature on a one-year deal."
More here: https://www.herefordfc.co.uk/news-babos-joins-the-bulls/