Preheat the oven to 375 degrees.
In a large bowl cream together the butter and sugar until smooth.
Mix in the egg and vanilla and set aside.
In a medium bowl combine the flour, baking soda, and salt. Mix well.
Pour the flour mixture into the butter mixture and mix until just combined. Do not over beat.
Fold in the lemon zest, lemon juice, basil, and mint.
Roll the cookies into 1 inch balls and place them on a cookie sheet 2 inches apart.
Bake for 9-11 minutes or until the edges just begin to brown.
Remove from oven and cool for 2 minutes before removing to a wire rack to cool completely.