Last year's bronze medallist Takanashi earned 96.5 points for her first jump, two better than the rest of the field, before replicating 96.5 in her second jump, giving her a combined total of 242.1.
The 16-year-old finished 17.8 points clear of her closest rival, Italian Evelyn Insam, who racked up 91.5 in her first jump and 94.5 in her second, giving her a total of 224.3.
Austrian pair Daniela Iraschko and Jacqueline Seifriedsberger finished joint third with a total of 219.2 points, Iraschko with jumps of 94.5 and 89.5, while Seifriedsberger managed 93.5 and 95.5.
Despite matching Takanashi's 96.5 in her second jump, Norwegian Anette Sagen narrowly missed out on a top three spot, finishing just 0.6 points behind the Austrians on 218.6.
The result means that Takanashi remains comfortably top of the World Cup standings with a total of 440 points, putting her 130 points clear of second place.
Iraschko, who finished second in 2012, sits well behind Takanashi in that second spot, while France's Coline Mattel holds on to third despite finishing 12th in Germany.
Defending champion Sarah Hendrickson currently lies fourth on 276 points, 12 behind Mattel, after a disappointing 11th-place finish.