Hawaii is one of the most beatiful places on earht. what are the verbs in the sentence

There is only one verb in that sentence -- it's a linking verb.

http://grammar.ccc.commnet.edu/grammar/verbs.htm#linking

To identify the verbs in the sentence, we need to identify the action words or words that express an action or state of being. In this sentence, the verbs are:

- is: The verb "is" is a form of the verb "to be," which expresses a state of being.
- is: The second "is" is also a form of the verb "to be."

So, there are two verbs in the sentence "Hawaii is one of the most beautiful places on earth."