Gather all ingredients.

Combine 2 teaspoons sugar and warm water in a cocktail shaker; stir to dissolve sugar.

Pour Meyer lemon juice, lemon peels, vodka, and orange liqueur into the shaker; add ice. Cover and shake vigorously.

Remove a lemon peel from the shaker and wipe the rim of a martini glass with the peel. Dip the rim of the glass in 1 teaspoon sugar, or as needed.

Strain martini into prepared glass and enjoy!