Police successfully deployed tyre spikes near Napier and the vehicle was eventually stopped on Prebensen Dr about 11.35am.
The road was briefly closed to the public with crash investigators in attendance, and the road between SH2 and Prebensen Dr was cleared of glass and debris.
No one was injured during the incident but a police vehicle was damaged by the offending vehicle as it was stopped.
A woman and a man were taken into custody and police are currently speaking to them in relation to the burglary on Saturday morning and a number of other matters.
Meanwhile, three people were taken to Hawke's Bay Hospital in moderate condition following two separate crashes in Hawke's Bay on Saturday.
One person was flown to the hospital with moderate injuries after their car crashed off a bank near Lake Waikaremoana.
Emergency services were called to the scene of the single-vehicle crash on Lake Rd at 11.30am and a special winch was used to get the occupants out of a car.
Emergency services also responded to a single-vehicle crash on Maraekakaho Rd, Hastings, about 2pm in which two people received moderate injuries.
They were transported to Hawke's Bay Hospital by St John Ambulance.