Fukuoka – Karatsu

• JR Fukuoka Subway Hakata Station or Tenjin Station (Chikuhi Line)
  　↓　Approximately 70 minutes
  JR Karatsu Station
• JR Hakata Station Expressway Bus Terminal or Tenjin Expressway Terminal
  　↓　Approximately 60 minutes
  Alpino next to JR Karatsu Station

Saga – Karatsu

• JR Saga Station (Karatsu Line)
  　↓　Approximately 90 minutes
  JR Karatsu Station

Transportation from various places to Karatsu (including private car / Karatsu City HP)
https://www.city.karatsu.lg.jp/kankoubunka/event/karatsukunchi-access.html