How to Remove Wrinkles Around Mouth Wrinkles around the mouth, often called smile lines , or laugh lines are an unfortunate part of the aging process. Fine or deep lines that occur around the mouth and lips are called perioral wrinkles. To chase away those pesky wrinkles around mouth, or laugh lines, women are constantly looking out and learning methods. Have you noticed that your nasolabial fold lines or “ laugh lines ” are getting more noticeable recently? How do you get rid of wrinkles around your mouth?