The biggest cause of wrinkles is, of course, the aging process. Then next is photodamage, or damage due to the sun's rays (UVA/UVB).
So the best way to avoid wrinkles is to avoid the sun. This is not very practical, especially since some sun is good for you. But when you are in the sun, use a sun block of at least 40 spf.
Bare Skin Care Routine for Wrinkles
Prevention is important. Learn to decrease frowning; develop relaxation techniques, and meditate. Wear sun glasses to avoid glare which can cause wrinkles around the eyes.
After age 30, the skin begins to decrease laying down collagen. This can be stimulated with a good skin care routine, which should include retinol or Retin-A, which will help wrinkles. See @Bare Skin Care Program for Wrinkles.
And as women approach menopause, consider the use of bio-identical hormones. Estrogen is only second to Retin-A in removing wrinkles in the skin.
To remove wrinkles, many other techniques are available, including lasers and chemical peels.