The incidents happened between 10.30pm on Saturday, 23rd November, and 12.45am on Sunday, 24th November.
There were reports of fighting in the Mill Street and High Street areas, and near to the Nags Head public house and local takeaways.
As a result of the disturbances, a 24-year-old suffered a cut to the head, and received treatment at Chesterfield Royal Hospital, and a 17-year-old male suffered a black eye.
Two 19-year-old men have been arrested on suspicion of affray and a 16-year-old male has been arrested on suspicion of assault.
All three people have been bailed pending further enquiries.
Any witnesses or anyone with information should contact PC Tanya Morton at Bolsover police station on 101, the non emergency number for Derbyshire police.
Alternatively, you can call Crimestoppers anonymously on 0800 555 111.