You can book your tickets with pinoy travel : https://www.pinoytravel.com.ph/
FROM MANILA TO BANAUE :
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OHAYAMI TRANS , Corner J. Fajardo st. , Lacson Ave. , Sampaloc, MANILA.
Departure of the bus to Manila at 9 or 10pm , arrival to Banaue around 6-7 am.
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CODA LINES, Quezon city, METRO MANILA
Departure of the bus to Manila at 8 or 9 pm , arrival to Banaue around 5-6 am.
FROM BANAUE TO MANILA :
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OHAYAMI TRANS
Departure of the bus to Banaue at 7 pm, arrival to Manila at 4 am.
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CODA LINES
Departure of the bus to Banaue around 5pm, arrival to Manila at 2 am.
The Coda lines bus come from Sagada.
There is no terminal in Banaue, you have to wait at the tourism center that the bus arrive.