16 £200 fines were handed out to students at two parties in Shakespeare Street and Hart Street in Nottingham.
A further fine of £200 was issued to a 19-year-old woman for not self-isolating after being told that she needed to do so.
Assistant Chief Constable Kate Meynell, of Nottinghamshire Police, said: “The majority of residents in Nottingham and Nottinghamshire are continuing adhere to the Coronavirus legislation and I thank them for that.
“However, there consistently appears to be a small number of people who think that the law does not apply to them and this needs to stop.
“The fact that our officers are having to attend unnecessary parties where the disease can easily spread and have a massive impact on our communities is unacceptable.
“We have shown time and time again that we will enforce this legislation where necessary and the message is clear that if you choose to hold an illegal gathering, we will take action.
“I am appalled by what happened when our officers attended a party in Top Valley on Bonfire Night and I am pleased that the organiser has now been located and fined £10,000.
“That being said, we should not be having to attend incidents like this in the first place as they shouldn’t be happening.
“I’d like to thank the majority of public once again for their cooperation and understanding through this incredibly difficult time.”
If you have any concerns in your local area, please do not hesitate to contact Nottinghamshire Police on 101 or in an emergency, dial 999.