Chill martini glass by filling with ice.
Add gin, vodka, Lillet Blanc and one twist of lemon peel to cocktail shaker. Fill with ice. Shake vigorously for 30 seconds or until the outside of the shaker is frosty.
Dump ice from martini glass. Strain contents of shaker into chilled glass. Garnish with twist of lemon peel. Serve immediately.