Preheat oven to 350 degrees F. Line two baking sheets with parchment paper; set aside.
Beat the butter, sugar and salt with an electric mixer on medium speed until fluffy. Add the vanilla and mix well. Reduce the mixer speed to low and gradually add the flour until just combined. Using a rubber spatula, stir in the miniature chocolate chips.
Shape into 1-inch balls (a small cookie scoop is perfect for this) and place 2 inches apart on the prepared cookie sheets. Bake for 10-12 minutes, or until set but still pale in color. Allow to cool on the sheets for 5 minutes, then remove to wire racks to cool completely. Store in an airtight container at room temperature for up to 2 weeks.