Seats - which initially went on sale to members - went on online general sale at 10am on Wednesday, 31st October. The Hammers come to St. James' Park on Saturday, 1st December for a 3pm (GMT) kick-off.
Newcastle competed a Premier League double over West Ham last season, winning 3-0 on Tyneside and 3-2 in East London.
General sale prices start from £34 for adults, £17 for juniors and £27 for seniors. Prices for 18 to 21-year-olds start from £19.
Members prices begin at £33 for adults, £16 for juniors and £25 for seniors. Prices for 18 to 21-year-olds begin at £18.
Tickets will be released for full general sale on Wednesday, 7th November.
To purchase tickets, please visit book.nufc.co.uk, call 0344 372 1892 or visit the St. James' Park box office (Milburn Stand) in person.