People seen dropping cigarette butts, chewing gum or other rubbish could be fined £75 if county councillors pursue the idea.
Councils have had the power to issue the fines since 2006. Rutland County Council is considering the move now because it has five wardens patrolling the streets to enforce parking restrictions.
Cabinet members will discuss the idea, which is outlined in a report by head of environmental services Shirley Plenderleith, at a meeting on Tuesday.
Portfolio holder for environmental services Coun Janine Rodger (Con) said: "In June we introduced the parking enforce-ment officers and now that they have settled into their role this is just an extension of the work that they can undertake."
The idea is to deal with low-level crimes with fines instead of prosecuting though the courts. But if a fine is unpaid after 14 days the offence will be pursued in the magistrates court. A notice can only be issued if there is enough evidence for a prosecution to be successful.
Coun Rodger insisted the wardens would not look for people dropping litter but could tackle any problems they came across.
She said: "We don't have a litter problem. The residents of Rutland are extremely responsible. However, we feel that if the officers have this power then should a situation arise they would be able to deal with it immediately.
"We don't foresee them using the powers but we want them to have them if it ever becomes necessary to use them.
"Our aim is to ensure a clean environment for the residents of Rutland."
The fixed penalty notice will be given only where the person is able to understand what is going on.
It is not considered appropriate to issue them to someone who has learning disabilities, is deaf, under the influence of alcohol or drugs, or anyone who is violent or abusive.
They could not be enforced against foreign nationals or people with no fixed address.
Wardens would be trained to use the powers and advised to phone the police to deal with persistent offenders.
A £75 fine is already used by Harborough District Council, South Kesteven District Council and Peterborough City Council.