Two firearms, including a shotgun, are still missing after an alleged crime spree involving children as young as 12 in Darwin.

The stolen 4WD was found bogged and damaged at at Marlow Lagoon, in Palmerston. ( Supplied: NT Police )

NT Police said four weapons, including an over-and-under shotgun, were stolen with two cars on New Year's Day, after a home was broken into in Moulden, Palmerston.

Police said the weapons had been stored in a gun safe at the property, but the offenders had found the keys.

It is believed the weapons were exchanged for drugs.

One of the stolen cars was spotted by police near Katherine the following day.

"The vehicle made a U-turn in an effort to evade police but crashed into a culvert. Two male offenders aged 13 and 14 were arrested a short time later. No firearms were located in the extensively damaged vehicle," Detective Sergeant Mark Bland said.

Two weapons which are missing, similar to this Sako rifle (top) and Franchi 12-gauge shotgun. ( Supplied: NT Police )

He said the car had been driven with a flat tyre from Katherine to Pine Creek, a distance of about 90 kilometres.

Later the same day the second vehicle, a four-wheel-drive, was found bogged and "extensively damaged" at Marlow Lagoon, in Palmerston.

"Information gained led to police to a residence in Woodroffe where two males, aged 26 and 27, were arrested after two of the firearms, a CZ .22 rifle and a Marlin 20.30 rifle were allegedly located in the roof cavity," Detective Sergeant Bland said.

Further investigations led police to arrest a 12-year-old boy in relation to the stolen motor vehicles.

Detective Sergeant Bland said a further two alleged offenders, girls aged 14 and 15, were arrested in Darwin's northern suburbs on January 6.

Anyone with information about the missing firearms should contact police on 131 444 or call Crime Stoppers on 1800 333 000.

"They are an under over Franchi 12 gauge shotgun and a Sako 30.06 rifle," Detective Sergeant Bland said, the type used for "shooting, hunting," Detective Sergeant Bland said.

Police have issued the following charges:

12-year-old boy: Aggravated Unlawful Entry (Dwelling), Stealing, 2 x Unlawful use of motor vehicle

12-year-old boy: Aggravated Unlawful Entry (Dwelling), Stealing, 2 x Unlawful use of motor vehicle 13-year-old boy: 2 x Aggravated Unlawful Use of Motor Vehicle, Stealing, Possess firearm whilst unlicensed, Drive motor vehicle whilst unlicensed

13-year-old boy: 2 x Aggravated Unlawful Use of Motor Vehicle, Stealing, Possess firearm whilst unlicensed, Drive motor vehicle whilst unlicensed 14-year-old boy: Aggravated use of a motor vehicle

14-year-old boy: Aggravated use of a motor vehicle 15-year-old girl: Aggravated Unlawful Entry (Dwelling), Stealing, Unlawful use of motor vehicle

15-year-old girl: Aggravated Unlawful Entry (Dwelling), Stealing, Unlawful use of motor vehicle 26-year-old man: Receive stolen property, Possess stolen property, Possess firearm without a licence

26-year-old man: Receive stolen property, Possess stolen property, Possess firearm without a licence 27-year-old man: Receive stolen property, Possess stolen property, Possess firearm without a licence