About 10 minutes walk from Dazaifu Station Nishitetsu.
Go through the precincts of Dazaifu Tenmangu Shrine, and reach for this entry. There is also a separate entrance through the front of Komyozenji Temple.
Permanent Admission is 420 yen. The contents of special exhibitions can be found from the official site.
The third floor is special exhibition room. 4th floor is a permanent exhibition room. Because of the large room, very time consuming if plod around.
Google Map Kyushu National Museum
Japanese site is here.
Feb 24, 2012 Typo corrected.