BMJ Group Medical Reference
Benzodiazepines are a kind of sedative. Examples of benzodiazepines are lorazepam (brand name Ativan), alprazolam (Xanax), and clonazepam (Rivotril).
There have been a few small studies of using benzodiazepines for essential tremor.    One study found that people who took alprazolam for about a month could write and feed themselves better.  But we don't know for certain whether benzodiazepines work for essential tremor. That's because the studies were small and didn't last very long.
If you're very bothered by tremor, and other medicines haven't worked for you, your doctor may prescribe a benzodiazepine. But they can cause sleepiness, and you can get addicted to them, so your doctor needs to supervise their use.
For references related to Essential tremor click here