First, you should know that back in time, it was easy for Foreigners and Myanmar nationals to marry together, you just needed to go to see the local judge But nowadays it becomes more difficult as all the judges will refuse even if it's not forbidden by the law.
The reason is that they are afraid it is an arranged wedding just for human trafficking purpose. What are they thinking? huh, do we all look like pimp?
The best way to marry is to marry abroad, the two best options are Thailand and Singapore.
In Thailand, you'll need an an affidavit of freedom, which can be delivered from your country embassy for you and by a Burmese court for your partner.
Both of those documents need to be translated in English by recognized organization and your partner will also need to get a certification from the Foreign office in Myanmar.
Then go to a local administrative office (amphur) and validate your wedding.
In Singapore, it's even easier.
You just need your passport and to fill a marriage application which you can find online.
Another condition is that the applicant (you or your partner) must be in Singapore for at least 15 days.
After the papers were filled, there is a 21 days waiting period.
You need to have 2 witnesses who are at least 21 years.
Hope it helps!