The Arriva bus company serves Marken with bus #111.
With the special Waterland ticket for € 9,00 you can explore more of the Waterland than just Marken.
Bus #111 starts from the Amsterdam Central Station, North side.
Between April and October, a passenger ferry operates between the tourist town of Volendam and Marken.
The journey takes around 30 minutes and it is a good way to arrive in Marken
A return trip costs 6.50 euros
If you have arrived at Marken by car, you automaticcaly end up in a big parking lot. To enter, you have to pay for a ticket, which you leave in your car. At the moment I went, the fare was 3,40 euro for a car with 2 passengers.
As in the rest of Holland the area around Marken is very cycle friendly, with small roads and designated cycle tracks (watch out for mopeds which can also use them!)