The 19-year-old Belorussian had lost four previous finals on the women's tour but finished off third-seeded Bartoli, the 2007 Wimbledon finalist, in 1 hour, 11 minutes and completed the tournament without dropping a set.
Azarenka lost last year's final at the Gold Coast women's event, which was merged with another Australian tournament - the Australian men's hardcourt in Adelaide - and replaced by the Brisbane International.
"Everybody says the third time's the charm but for me it is the fifth one - I'm just glad I got it,'' Azarenka said, adding that she held her nerves in check despite her finals record.
"It was like playing a regular match - that is what helped me finish it so quickly.''
Azarenka broke twice to lead 4-1 in the first set before Frenchwoman Bartoli recovered to get back to 4-3.
But that sparked a six-game run by Azarenka to take a commanding 4-0 in the second.
Anna-Lena Groenefeld of Germany and American Vania King won the women's doubles final 3-6, 7-5, 10-5 over Poland pair Klaudia Jans and Alicja Rosollska.
Spain's Fernando Verdasco reached the men's singles and doubles finals.
He won six straight games in the opening set on his way to a 6-2, 6-1 victory over Paul-Henri Mathieu.
The third-seeded Verdasco then took a 5-0 lead in the second before closing out the match in just over an hour at Pat Rafter Arena. He improved to 5-0 against Mathieu, reaching his eighth career ATP final and first on hard court.
In Sunday's final, Verdasco will play eighth-seeded Radek Stepanek, who beat Richard Gasquet 2-6, 6-2, 6-4 in the other semifinal.
In the doubles, Verdasco teamed with Germany's Mischa Zverev to beat Australian pair Carsten Ball and Chris Guccione 6-4, 6-2.
In the other semifinal, French pair Marc Gicquel and Jo-Wilfried Tsonga beat Travis Parrott of the United States and Slovakia's Filip Polasek 7-5, 6-7 (4), 10-7.
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