Sources say that members of the gang hiding in woods were located by thermal imaging from the garda helicopter.
Earlier, several garda units were involved in the chase which reached speeds of 150kph as the stolen car drove through the Strawberry Beds and Lucan areas of west Dublin.
The family-based gang targeted in the dramatic chase is a notorious Traveller outfit which has been linked to almost a dozen burglaries in the north Wicklow area as well as a number of incidents of handbag snatches.
Their stronghold is Bray, Co Wicklow, but they also have connections to the Tallaght area and links to a crime gang in England.
They are made up of four men aged in their 20s and have been a major target for gardai for months.
One of the gang members was previously jailed after he rammed a stolen van into two garda patrol cars following a high-speed chase over the Dublin Mountains in 2005.
During that incident, a 32km chase ensued from Rathfarnham, over the Dublin Mountains to Enniskerry and the Southern Cross Road in Bray.
The notorious burglar drove the van at its maximum speed of 60mph in a dangerous fashion, including going the wrong way around roundabouts.
During the chase, items such as fire extinguishers and work tools were thrown from the van into the path of two following patrol cars.
At Bray, he rammed a perimeter fence but failed to break through it so he reversed the Hiace into the patrol cars. Two gardai were treated in hospital for leg and neck injuries.
Another gang member was previously convicted of his role in the theft of thousands of euro worth of stainless steel in north Dublin last year.