A child has been found by police in the back seat of a stolen car after a pursuit in Adelaide this morning.

SA Police said a patrol car spotted the vehicle on Shipsters Road in Kensington about 3:15am and a check confirmed the vehicle was stolen.

Senior Constable Rebecca Stokes said the car failed to pull over and a chase ensued in the back streets in Kensington and Magill.

The vehicle was forced to stop in a dead-end street in St Morris.

SA Police said Families SA were notified about the child being in the car.

A 28-year-old Craigmore woman and a 33-year-old Enfield man were both charged over the incident and refused bail.

They will appear in the Adelaide Magistrates Court today.