Six arrests were made following the Carlisle United match against Barrow.
A number of incidents of disorder broke out following the Cumbrian derby, police said.
Chief Superintendent Matt Kennerley said “I’d like to thank the majority of supporters who were well behaved and attend the match free of violence and disorder.
“Unfortunately, there has been a minority of supporters from both ends intent on causing disorder.
“This has been the first Cumbrian derby in a long time and we want fans to enjoy themselves however any football related disorder will not be tolerated.
Throughout today officers made six arrests in relation to football-related disorder.
Chief Superintendent Kennerley added: “We are committed to taking a robust stance towards tackling any unacceptable incidents and behaviour involving football fans.
“The public will have seen an increased number of officers as well as specialist officers throughout the day in Carlisle to ensure the safety of the fans and the public.”
