The train from the airport arrives to Haifa. From Haifa take a bus (Lev Hamifraz bus station) to Qiryat Shemona (approx. 2 hrs.). From Qiryat Shemona there is a bus to Dan.  

The bus company is: "Egged". There are 5 buses a day Mon. to Thu. (#36 or 35) departing from  Qiryat Shemona to Dan: 6:10, 1:45, 14:10, 17:30 , 19:30  Fri. the buses go to about 16:00 only. No bus on Saturday.

Look here http://www.egged.co.il/Eng/ for buses from  Haifa to Qiryat Shemona.

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