Vitamins B1, B6, and B12 are integral in keeping the nervous system in strong working order. And, while essential tremors are more hereditary in nature, a deficiency in vitamin B1, B6, and B12 are known to cause shakiness and tremors in the hands.
Consult your doctor for the proper tests to determine if there is a vitamin deficiency and what vitamins should be supplemented for your essential tremor.