STONES, eggs and flour have been thrown at homes, while fireworks were set off in people's gardens by youngsters as young as eight.
Police officers in Up Hatherley and the neighbouring ward of Warden Hill are now taking a "zero tolerance approach" on anti-social behaviour.
Extra patrols are being put on to catch the youngsters, aged from eight to 25, who have been targeting homes near Windermere Road.
PCSO Lynda Jackson said the residents were having a "tough time" of it.
She said a bus window had been smashed by a stone and there had been a party in Hatherley Park.
A spokesman for Gloucestershire police confirmed residents in Willersey Road had called them after Halloween to complain after trick-or-treaters knocked on doors that had posters in the windows asking for no visitors.
A group of five youths were seen throwing stones at a home in Hazebrouck Close in the early hours of Saturday, November 3, he added.
Meanwhile, a resident in Fernleigh Crescent said fireworks had landed in his garden on Saturday night.
A family in Rydal Walk also had their property egged, and on Saturday were hit with flour as well as having their front door filled by smoke from a firework in their garden.
PCSO Jackson told Up Hatherley parish council: "We are experiencing high levels of anti-social behaviour and the residents really are having a tough time.
"It is a variety of young people from aged eight to 25 that we are looking at and they seem to be from all over Cheltenham.
"It isn't happening at regular times and so it is difficult to police.
"But we are patrolling every night and we have quite a large team now looking at the area. We want to flood it and show a zero tolerance approach.
"We know residents are feeling targeted and we are trying to address that. We need things to be reported at the times they are happening as we need descriptions of those doing it.
"If we are on patrol then there is likely to be a officer nearby so it is always best to call it in."