In a medium bowl, cream butter and sugar together until smooth and creamy.
Add in the eggs and vanilla. Beat them after each addition.
In another bowl, add in the flour, baking powder, and salt. Stir to mix together,
Mix the ingredients together to form a dough. Cover and refrigerate an hour.
Preheat the oven to 400 degrees. Line a cookie sheet with parchment paper.
Spread some flour on a cutting board and on the rolling pin. (If needed)
Roll out the dough. Use the cookie cutter to cut out the cookies.
Place the cookies onto the cookie sheets 2 inches apart. Place in oven.
Bake at 400 degrees for 6 to 8 minutes or until they turn slightly brown.
Allow them to cool slightly while still on the cookie sheet.
Then transfer the cookies to a wire rack to cool completely.