The common idiomatic phrase is "Is it worth X?" or even the seemingly meaningless "Is it worth it?" In this case you have to figure out the meaning of the pronouns from context. For example:

Buying a home can be a difficult, frustrating, and ultimately expensive process -- plus, afterwards, there are all the headaches the comes with home ownership. Is it worth all that trouble?

Joining the military is a serious commitment that should not be taken lightly. Before you let yourself be pressured into enlisting, you should ask yourself, "Is it worth it?"

As others have pointed out, "worth" is not a verb and so you can't ask "Does it worth it?" However can you use the standard "to be" verb to say things like:

Does it seem like it would be worth the trouble?

Does it look like a good investment that is worth the cost?

The common idiomatic phrase is "Is it worth X?" or even the seemingly tautological "Is it worth it?" In this case you have to figure out the meaning of the pronouns from context. For example:

Buying a home can be a difficult, frustrating, and ultimately expensive process -- plus, afterwards, there are all the headaches the comes with home ownership. Is it worth all that trouble?

Joining the military is a serious commitment that should not be taken lightly. Before you let yourself be pressured into enlisting, you should ask yourself, "Is it worth it?"

As others have pointed out, "worth" is not a verb and so you can't ask "Does it worth it?" However can you use the standard "to be" verb to say things like:

Does it seem like it would be worth the trouble?

Does it look like a good investment that is worth the cost?