If by resolution you mean ending, the short answer is that there wasn't one, although there were certain actions taken that helped stem the massive number of deaths.

I'm on mobile, but I found this site that summarizes it well.

Essentially, when the plague reached its worst point it necessitated quarantining the sick, and encouraged some degree of personal hygiene. A number of "cures" were introduced. Many of the items on that list are obviously of no medical use, but some, such as burying the dead, removing human waste and bathing, resemble modern hygiene.

I'm missing part of the answer here, so hopefully someone can fill in the gap, but it seems that the disease more or less declined once these measures became more popular and natural resistance to it increased, until it was no longer a looming threat (some time in the 15th century). Plague outbreaks did happen several more times, but I suppose they aren't "the Black Death", and mostly took place in Asia.

As for the "resolution", the bubonic plague still exists, particularly in Asia. In fact, a man in China died this year. It seems there's some debate though as to what plague the Black Death actually was, and it's possible that it was pneumonic plague rather than bubonic, which also still exists.

I wrote my senior thesis on the black death, but I'm at work so I can't cite stuff here. I can later. What do you mean by resolution, if you don't mind?