Travellers from Glasgow can take the train from Glasgow Central station direct to Lanark. Travellers from Edinburgh can take a train to Motherwell (don't change at Holytown, which has no station facilities) and change there for a train to Lanark.
There's no direct coach or bus from Edinburgh, but you can make local connections by taking the bus to [wiki=6bda4c16ffba6999365b4c48419dc79f]Biggar[/wiki], from where you can catch a bus to Lanark bus station.
New Lanark is signposted from the M8 motorway and is under an hour's drive from Edinburgh. There is a large car park which is up quite a steep hill above the rest of the village but there is disabled parking in the main street of the village for those requiring it.
The Clyde Walkway is nearby so walkers can pass through the village on the walk.