Cheltenham Town say they are "saddened" by reports of homophobic abuse towards a player during the club's game against Charlton Athletic at the weekend.
The alleged incident happened during the League One draw on Saturday 15 January.
There were also reports that a player was spat at, according to police.
In a statement a club spokesperson said: "We are saddened by the incident, which is being dealt with by the police. We will not be making any further comment at this time."
Proud Robins, the club's LGBTQ+ supports network, also spoke out following the reports.
Cheltenham Town added they have a "zero tolerance policy to discrimination of any kind" and encourages fans to report any discriminatory behaviour.
Gloucestershire Constabulary said: "At Saturday’s match police were told by stewards that they had received reports of homophobic abuse and chants being directed toward a player.
"There were also allegations that a player had been spat at in the match between Cheltenham Town and Charlton Athletic at the Jonny-Rocks Stadium.
"Police are investigating the allegations and three youths were spoken to and their details were taken. They were ejected from the ground. This behaviour will not be tolerated and we will continue to work with both clubs to investigate."
Officers are asking for anyone who witnessed what happened to come forward and provide information.