A family of four spent three nights stranded in their ute after ignoring warning signs and following their GPS navigation system on to a closed dirt road in the NSW far north-west.

Police said the family of four, including two teenage boys, were travelling with their dog across Australia, between Brisbane and Perth.

They followed their GPS navigation system on to the popular and picturesque Darling River Road but ignored numerous signs indicating the road was closed due to heavy rainfall.

The ute and trailer eventually became bogged down about 40 kilometres north-east of the town of Wilcannia.

The family called police but were forced to wait for three nights before emergency services could reach them.