Does any dental insurance cover braces?

That depends on the coverage of your insurance, but there are insurance companies who definitely allow dental braces coverage. However, it is still best to double check with your provider about the terms that goes along with dental braces coverage. For instance, most health plans only covers orthodontic treatments (partially) for minors or children under 18.

If you're planning to get a dental braces, but your health plan doesn't include orthodontic coverage (e.g. teeth whitening, dental braces, amalgams) then what you can do is to buy supplemental orthodontic insurance.