Newport are investigating an incident during their League Two game against Bradford following alleged taunts about the 1985 Valley Parade fire tragedy.
Bantams boss Stuart McCall claims he received abuse from "just one sick individual" during Saturday's match at Rodney Parade.
McCall, who was part of the Bradford squad on May 11, 1985 when the fire claimed 56 lives, said the taunts were the "vilest thing" he has ever heard at a football match.
Newport issued a statement about the incident on Monday which read: "NCAFC are aware of an incident that took place on the Hazel (sic) Terrace during our Sky Bet League Two victory at Rodney Parade on Saturday.
"The club are currently conducting an investigation working with the relevant authorities, stakeholders and Bradford City A.F.C regarding this matter and hope to publish the results of the findings as soon as possible.
"NCAFC would like to reiterate our no-tolerance stance on discriminatory behaviour and assure our supporters that we will continue to create an inclusive, welcoming environment for all."
Meanwhile, Macclesfield also issued a statement on Monday following an incident of abuse at their League Two match against Crewe at Gresty Road.
"Macclesfield Town are committed to treated everybody equally and in doing so, ensuring that everyone can enjoy their football without fear of abuse and discrimination," said the statement.
"Abuse and discrimination of any kind is intolerable and does not have any part to play either here at the Moss Rose or when we travel around the country to contest away fixtures.
"On Saturday, the vast majority of our supporters respected this impeccably – as they always do. We were let down by a very small minority however, who acted in a manner which has been rightfully reported to us by Kick It Out.
"Clearly this saddens us greatly and we will be investigating these isolated incidents which unquestionably let our club down.
"Anyone found to be in breach of our Fan Behaviour Policy in this regard is liable to receive a ban from attending future games, as well as criminal proceedings should the offence be deemed to warrant it."