Police are investigating a series of reports of anti-social behaviour by youths across Broughty Ferry and Monifieth.
Residents have reported issues including fireraising, noise, threats and vandalism.
One mother, who asked not to be named for fear of further intimidation, described how 15 teens shouted and swore at her nine-year-old son.
The mum, from Ashludie Grange, said: “It’s been happening for months. It’s a group of about 15 kids, aged 14-17, boys and girls.
“They wander around chapping doors, intimidating people, shouting, swearing, throwing rubbish into gardens and they egged a load of houses, including ours, in December.
“All the trees on the road into Monifieth from the McDonald’s circle were pulled out of the soil and left lying.
“My nine-year-old was watching TV on Friday and they were outside my house screaming and shouting so he opened the window to see what was happening. They started shouting threats and were swearing at him.”
Meanwhile, a number of people living beside Sandy Park in Broughty Ferry were woken up at 1.30am on Sunday by loud bangs.
Fraser Burnett, 17, who often walks his dog there, said: “A few years ago we all helped raise money to buy new equipment for the playpark and things were looking good. Now it’s all gone downhill.”
Councillor Kevin Cordell, Dundee’s neighbourhood services convener, said: “It is senseless and unpleasant for the residents and those using the park.”
A spokesman said: “Police Scotland is investigating an incident at Sandy Park. Two wheelie bins were set on fire and three youths were seen to run away.”
Regarding the Monifieth disturbances, the spokesman added: “Police Scotland is investigating.”