France kept up the pressure on Australia coach Eddie Jones with a stirring 10-point win in Marseille.
France: (10) 26
Tries: Heymans, Martin
Cons: Elissalde 2
Pens: Michalak, Elissalde 3
Australia: (9) 16
Pens: Rogers 3
Cedric Heymans and Remy Martin both went over for tries while Jean-Baptiste Elissalde kicked two conversions and three penalties.
Australia's only try came from Drew Mitchell in the closing minutes while Mat Rogers had 11 points.
The defeat spoiled captain George Gregan's world record breaking 115th appearance for his country.
Australia have now lost six games in a row - their worst losing streak for 36 years.
France recovered from the early loss of Frederic Michalak with a shoulder injury after the fly-half had kicked over an early penalty.
Rogers levelled matters and Heymans went over for the first try to put France 10-3 ahead after 27 minutes before two Rogers penalties cut the gap to one point (10-9) at the break.
Elissalde's penalty put France 13-9 ahead early in the second half, and Martin crossed for a try, converted by Elissalde, to make it 20-9.
The Toulouse scrum-half then added two more penalties, before substitute winger Mitchell's late converted try.
France: Laharrague, Rougerie, Fritz, Jauzion, Heymans, Michalak, Elissalde, Milloud, Swarzewski, De Villiers, Pelous, Thion, Nyanga, Lievremont, Martin.
Replacements: Castaignede for Fritz (70), Delaigue for Michalak (48), Marconnet for Milloud (72), Bruno for Swarzewski (64), Nallet for Pelous (75), Lamboley for Nyanga (80), Chabal for Lievremont (78).
Australia:: Latham, Sailor, Tuqiri, Turinui, Rogers, Giteau, Gregan, Dunning, Cannon, Baxter, Chisholm, Sharpe, Elsom, Waugh, Smith.
Replacements: Mitchell for Giteau (69), Whitaker for Gregan (77), Moore for Cannon (61), Roe for Elsom (61). Not Used: Holmes, McMeniman, Johansson.
Referee: P Honiss (New Zealand).