I feel my ring and middle finger tips numb on both hands, also the side of fingers , only one side in the same fingers, what this could be?

Finger Numbness: Finger numbness usually arises from a lack of blood supply to an area or damage to a nerve or nerves that supply the hand, such as in carpal tunnel syndrome or a cervical disk problem. Finger numbness can also result from infection, inflammation, trauma, and other abnormal processes. Most cases of finger numbness are not due to life-threatening disorders, but it does occur with stroke and tumors.

Pinched nerves: Nerves are like garden hoses. If they are piched then there is less function i.e. Feeling. You need to see a specialist to pinpoint where your nerves are pinched. They can be pinched in more than one place.