I know nothing about it, but there is apparently a place called Bangkok Jazz in Tampa, Florida, USA. However, I doubt that is what anyone has in mind who is reading this post.
There is even another in Kuala Lumpur, Malaysia.
Within Bangkok itself, there is Niu’s on Silom.
There is also the Saxaphone Pub & Restaurant.
Check out the fairly short article Jazz in Bangkok for a discussion of some places.
Jazz Restaurants in Bangkok gives a rundown on five places, including Niu’s and Saxophone..
Jazz Clubs Worldwide lists a total of 10 places as of the date of this writing — Niu’s, Saxophone, and eight others.
Bangkok – Thai live jazz band @ Rosabieng
Uploaded by happysou on Oct 28, 2008
Bangkok – Thai live jazz band – Sovereign Restaurant – Suk Soi 11