Even during any minor arguments/anger where there is no risk , my hands begin to shiver, is this normal? if not what sort of condition it may be?

Biology vs psych: Two kinds of possibilities come to mind. First, you could have a medical condition that causes tremors, & you only notice it at certain times. This could be due to caffeine or other drug side-effect, various neurological conditions, etc. My other idea is that even minor arguments/anger have important meaning for you personally, something you might clarify by talking to a counselor or therapist.