"Firstly we have a drunk driver, secondly she is driving well in excess of the speed limit and thirdly she is heading to work. I'm just relieved she was stopped before she, or anyone else, was harmed by her actions," he said.
Police have been monitoring the roads vigilantly during Rugby World Cup games, Mr Price said.
He also advised employers to talk to staff about consuming alcohol before arriving at work.
"We all want to get behind the All Blacks and enjoy the rugby but if you're driving after the game our advice is to not drink alcohol and if you drink, don't drive," he said.
The incident comes after thousands of West Auckland motorists were breath-tested for alcohol at the weekend as part of a police blitz to make sure people were not drink-driving during the Rugby World Cup.
More than 4300 people were stopped at checkpoints in and around Henderson and New Lynn on Thursday, Friday and Saturday nights to check their alcohol levels.
A total of 43 drivers were found to be over the limit.