You will need to submit an original or a certified copy of your birth certificate and your marriage certificate. Odd as it may sound, if you had been married formerly, you will also need to submit certificates of the former marriage(s) and divorce(s). The reason for this is simple: when you become a Hungarian citizen, all your major life events should be registered in the Hungarian records (same as they are regularly registered for all Hungarian citizens).
If the language of your documents is not Hungarian, you will also need a certified Hungarian translation.
A pleasant surprise: as opposed to the practice in many other countries, there is no need to provide a no-criminal record for the Hungarian citizenship procedure.