How can I remove my darkspots on my face?

Depends on the cause. A dermatologist can look at facial spots to see how to remove them. Some spots go away with differin (adapalene) gel (also used to treat acne), even though the spots are not acne. Other spots go away after light freezing with liquid nitrogen. Lasers may be used for some spots. Other spots may be removed by scraping with a special blade. People who tan easily may get a new dark spot "scar" after spot removal.
Skin peels. there is a skin peel called a jessners. This is a safe procedure and leaves a reddened area but will decrease the brown spot. Also, one can seek out a doctor who does laser treatments. But, one must make certain that the dr is experienced and can delineate a benign from a malignant spot.
Plus, removal of a benign brown spot will often result in its return with sun exposure.