In the internal address, it's "The Honorable (insert name of judge)" In the salutation it's "Your Honor", as well as anywhere in the body of the letter that you reference the judge. For example: "If Your Honor wishes, I will mail Your Honor a list of witnesses".
Your Honor
Address a judge unknown
In a letter a judge is addressed as "The Honorable (followed by name)" In court a judge is address as "Your Honor" or as "Judge."
Presiding Judge
''your honour''
To address a judge in a personal letter, start out the letter with "Dear Sir or Madam". Explain in great detail and thoroughly why one is writing the letter to the judge. In the end of the letter thank them for their time.
Did you mean presiding judge? If so, I would like to know as well. I need to address in a formal letter a judge whose name I do not know.
your honour or my lord
A judge should be addressed as "Your Honor" in all correspondence. Whether addressing him or her verbally or in a letter, this will be a correct way to do so.
Dear Judges
To The Hon. <name>
To the wife only, just as Mrs. She has no title of her own.
Whether in writing or in person, address a judge as "your honor". Do not use "to whom it may concern" unless you have no idea who will be reading your letter.