No officers were struck, there were no injuries, and the woman was arrested on an existing warrant while further charges were being considered.
About the same time, a person understood by Hawke's Bay Today to be a teenaged girl or young woman was reported to have possible serious injuries after a motorcycle hit a tree beside a path through the Chambers St green belt, opposite Napier Boys' High School.
No further details were available late afternoon, but police said the two incidents were not linked.