If you were to apply sunscreen regularly, would your skin tone become lighter?

I ask this because the complexion on my face is significantly darker than the rest of my body, especially my legs, so I wonder if I put on sunscreen religiously then the extra melanin, or pigment, would begin to fade, so my skin would even out. If not, do you know any products that are good with lightening the skin? I'm African American by the way.