From Connolly Train Station train to Newry Train Station then taxi to Newcastle. 1 h 49 min £88. From Dublin Busaras Bus Station bus to Newry Bus Center then bus to Newcastle. 3 h 17 min £22. From The Gresham Hotel bus to Belfast Europa Bus Centre then bus to Newcastle. 4 h 4 min £22. From Dublin drive to Newcastle. 1 h 41 min £18.