Preheat the oven to 375°F. Recommend lining cookie sheets with parchment paper.
In a large mixing bowl, cream together the peanut butter, butter, sugar, and brown sugar with an electric mixer. Mix for a couple minutes until light and fluffy over medium speed. Beat in egg and vanilla, and mix until mixture is smooth.
In a separate bowl, combine the flour, baking soda, and salt. Stir flour mixture into the butter mixture, and mix just until combined.
Scoop dough and roll into 1-inch balls. Roll each ball in sugar and place on a baking sheet.
Bake the cookies for about 7-8 minutes or until barely golden brown. The cookies should be slightly puffed and crackled.
Remove from oven and gently press one chocolate kiss into the center of each cookie. Carefully transfer the baked cookies, and let cool on a cooling rack.