This is from the Dover w/site on train travel:- The main railway station in Dover is Dover Priory which is approximately 2 miles from Crabble. The closest station to Crabble is Kearsney which is about a 10-15 minute walk from the ground.
Kearsney is the last stop before Dover Priory on the line from London Victoria (via Canterbury). Some trains on this line do not stop between Canterbury East and Dover Priory so if you are planning on getting off at Kearsney make sure that the train you are travelling on is a stopping service.
If you are travelling on the line from London Charring Cross (via Ashford) the train will not pass through Kearsney so you will have to stop at Dover Priory, near the town centre.
If you get off at Kearsney, turn right as you leave the station, go under the railway bridge and then take the first road on the left (Lower Road). Follow Lower Road all the way along, past a pond on your right and Crabble Corn Mill on your left. At the end you will see the Cricketers pub on the other side of the road. Turn right and you should see the entrance to the ground.If you get off at Dover Priory it is probably best to get a bus or taxi to the ground as it is a long walk