Travel options into the city centre include:
Most travellers find that Tyne and Wear Metro is the best all-round option for getting to the city centre. The journey from the Airport station to the city centre (Haymarket, Monument or Central station) takes about 20-25 minutes and costs £3.40. There is a metro every 12-15 minutes. The first metro leaves the airport M-F at 5:37 AM, Sa at 5:42 AM, and Su at 6:29 AM. The last metro leaves the airport to the city centre at daily 11:12 PM. The first metro leaves Central station (city centre) to the airport M-F at 5:58 AM, Sa at 6:19 AM, and Su at 6:43 AM. The last metro leaving from Central station (city centre) to the airport is at daily 11:29 PM. The interior of the metro is not wide. If you have a big luggage, it may barely squeeze through the aisle on the metro. Your luggage is probably ok if it protrudes slightly into the aisle on the first 6 stops heading into the city due to low ridership in this area, but once you get to South Gosforth station and beyond, you may find that your luggage is blocking the way of many passengers.
Bus services are operated by Stagecoach between the airport and the city centre, but the metro offers a much better service if running.
Taxis are readily available outside the airport and it costs about £15 to get to the city centre.
By car the distance to the city centre is 9.7 km (6.0 mi) and takes up to half an hour to get in. There are several car rental firms with offices in the airport terminal building, although you'll generally pay a premium over city rates. See "By car" for car rental listings.
Newcastle Central station
LNER trains frequently connect Newcastle with London King's Cross, Edinburgh and principal destinations between (including York, Doncaster and Peterborough). Some services extend on to Glasgow, Aberdeen or Inverness.
Cross Country Trains run every 30 minutes from Newcastle to Birmingham via Leeds/Doncaster, Sheffield and the East Midlands. Some services extend on to Reading and the South Coast, or through Bristol to South Wales or South West England. Cross Country also run north of Newcastle to Edinburgh, Glasgow and Aberdeen.
Newcastle Central Station is also served by the Tyne and Wear Metro system, for frequent services into the Newcastle suburbs, and other destinations in Tyne and Wear.
In the UK, tickets can be bought on the day at the station using cash or debit/credit card, but long-distance tickets are cheaper to book in advance. Times and fares information is available from National Rail, +44 8457 484950, or the station booking office.
Newcastle upon Tyne is well signposted from the north, south and west. The city lies at the joining of the A1 (the main East Coast route from London to Edinburgh) and the A69 (a major east-west route to Carlisle and the M6). The A1 bypasses the city to the west.
There are a number of 'park-and-ride' National Park and Ride Directory points around the city to avoid the hassle of parking in the city centre. From these points, the Metro or bus will take you into the city for between £1 and £3. Otherwise, there are over 10,000 spaces in the city centre, though for stays of more than a few hours this may prove expensive. Generally, parking in the city centre costs between £1 and £2 per hour, while parking about 10 minutes walk from the centre will set you back about £0.50 per hour.
North Shields, 7 miles east of the city centre, has a daily ferry service to Amsterdam in Holland. Special buses run from the Central Station to the ferry terminal and are charged at £3.50 (one way). Much cheaper are local stopping buses to the Royal Quays shopping outlet down the road or the Metro (15-min walk to Meadow Well station).
The above information actually from Wikivoyage, for more details, please visit https://en.wikivoyage.org/wiki/Newcastle_upon_Tyne