A senior police officer has told councillors that there was still a lot to be done to tackle the spate of anti-social behaviour in the town.
On Friday the convoy of about 10 caravans entered the Clay Street car park.
Matt Hancock has pledged to lobby the Home Secretary to look at changes in the law to help police tackle the anti-social behaviour.
Police swooped on a house just outside Newmarket on Saturday, shutting down a 10 plant cannabis farm.
Eyewitnesses said they saw "armed police with riot shields, assault rifles, and side arms" entering the block.
A Newmarket man has been arrested in connection with a suspected arson attack which saw 750 tonnes of straw destroyed.
Suffolk Police issued the Section 35 order after a spate of antisocial behaviour in The Guineas Shopping Centre.
Suffolk Police said at around 2.20pm yesterday a man spoke to a 17-year-old boy in a manner which caused him alarm and distress.
Suffolk Police said the suspects are believed to have gained entry by forcing open the front door.
Residents and business owners have said they have had to put up with an increasing amount of anti-social and often criminal behaviour.
Four teenagers and a 22-year-old man have been arrested after liquid was squirted into the faces of women.
A 21-year-old man has been arrested after he punched a police officer in the face moments after smashing through a vehicle's windows in Newmarket.