According to the Post, the ban was prompted by an article about local government reorganisation, external, written by its agenda editor Oliver Pridmore.
The authority also stopped sending press releases to the publication and inviting them to council events.
But Barton later clarified the ban only applied to the issuing of press releases and to him personally.
Barton later lifted the ban for the three BBC-funded Local Democracy Reporting Service journalists who work out of the publication.
The Post believed the ban was in breach of local government regulations, Article 10 of the European Convention on Human Rights – in relation to freedom of expression, external – and the council’s own councillor code of conduct.
“I’m pleased this unprecedented ban has been lifted and the situation finally resolved, so that we can continue to get on with our jobs as we always have done,” said Ms Fahy.
“That means asking questions of elected council officials, having access to publicly-funded information and events and holding them to account on behalf of our communities in Nottinghamshire.”
