World number three Mauresmo, who has never got past the quarter-finals at her home event, started nervously but gave the impression she would recover, fighting back from 3-1 down to take the second set.
The Frenchwoman, who was let down by her usually reliable serve, was broken again in the fourth game of the decisive set.
The 17-year-old Ivanovic, who won her first title this year in Canberra, kept her composure before a partisan crowd until Mauresmo bowed out with a double fault on the first match point.
