Using a hand mixer or a stand mixer fitted with the paddle attachment, cream the butter with the sugar. Add vanilla and beat until combined.
Add the flour and salt and mix on low speed until dough forms. Cover and chill in the refrigerator for at least 1 hour.
Preheat oven to 375°F and line a baking sheet with parchment paper. Set aside. Unwrap Kisses.
For each cookie, scoop a tablespoonful of dough and form around each Hershey's Kiss. Place on baking sheet, a few inches apart. Bake for 12-14 minutes or until bottoms of cookies are golden brown.
Allow cookies to cool on baking sheet about 10 minutes before coating in powdered sugar.
Notes
After chilling the dough, you may have to allow it to sit at room temperature for 20-30 minutes to soften. This will make it easier to handle.