Thank you for the question. There are few causes of peeling of the hands. These include hand eczema, which is common cause. Other causes include contact dermatitis, post viral infections and there are even hand peeling syndromes that can cause the skin on the hands to peel.
General measures to protect the hands include minimizing contact with soap and detergents and the regular use of hand moisturizers.
If this persists, it is advisable for you to see your dermatologist/doctor to get the an accurate diagnosis and appropriate treatment.