any - no

He doesn't know anything about you,

He doesn't know nothing about you.

have the sentences above the same meanings?

which is the right one?

Iwona B is correct.

In english, we do not use double negatives, such as:

He doesn't know nothing about you.

If we were to explicitly state a double negative such as the above, it would make the sentence mean the exact opposite of what the speaker intended.

Joe

Thanks guys,

now it's clear!