The move is aimed at ensuring revellers are not put at risk by travelling in defective vehicles.
It is hoped it will also prevent the danger of people unknowingly getting into unlicensed cars.
Officers from Glasgow City Council's taxi enforcement unit will carry out regular patrols around Christmas and New Year.
The enforcement team has the power to stop and search not only local private hire cars, but also taxis from neighbouring areas that illegally operate on busy city streets.
Anyone breaking the rules will be reported to their licensing authority and cars with defects could be taken off the road immediately.
This month, the council's licensing committee suspended one private hire driver for six months for plying his trade outwith his own area.
Committee chairman Chris Kelly said: "It is important we protect our honest, licensed drivers.
"They work hard and they should not have to worry about people crossing borders to steal work from under their noses.
"The council has its own enforcement unit and this year it is carrying out a number of rigorous patrols as the party season gets into full swing."
Mr Kelly said in previous years a number of rogue operators decided to pack up and go home rather than face the enforcement team.
He added: "There is a real safety issue here too. We have no idea whether a car licensed outside Glasgow is safe and we have no idea if the person behind the wheel is a fit and proper person."