From Southampton Central train to Waterloo Underground Station, Tube to St Pancras International, then train to Canterbury West. 3hrs 01min £59. From Southampton Central train to Brighton, train to Ashford International, then train to Canterbury West. 4hrs 55min £73. From Southampton night bus to Belgravia, Victoria Coach Station then bus to Canterbury, Bus Station. 4hrs 47min £24. From Southampton drive to Canterbury. 2hrs 18min £32.