The closest train station to New Lanark is in Lanark where there is a regular bus service to the village or you could walk by following signs from lanark town centre. There is a large carpark which is up quite a steep hill from the rest of the village but there is disabled parking in the main street of the village for those requiring it. There is also the Clyde Walkway nearby so walkers can pass through the village on the walk.
The village is quite small and can only be navigated by foot. There are few cars and it is usually quite busy with people so it is safe to just wander round the sights on the roads and paths provided.