What causes the sole of the feet to have a continuous tingling itchy sensation for approximately 2 months now?

A neuropathy: Your symptoms suggest a peripheral neuropathy. There are numerous causes for this condition. Are you diabetic, have a history of anemia or drink significant amounts of alcohol? Sometimes this problem can occur without an obvious cause. See your doctor and he/she can determine if a neuropathy is present and look for underlying causes.

Possible : Fungus, try an antifungal cream readily available at the drug store. Stop scratching as well.