Take the mountain railway from the Interlaken East rail station to Lauterbrunnen (trip time: 1 hr.). Once at Lauterbrunnen, you can take a cogwheel train the rest of the way to Mürren. Departures from Lauterbrunnen are every half-hour from 6:10am to 7:30pm daily, costing 15F one-way.
A regular postal-bus service goes once an hour from Lauterbrunnen to Stechelberg; the rest of the way you must travel by cable car, costing 9F round-trip. Departures are every half-hour, and the trip takes about 10 minutes.
Mürren is not accessible to traffic. You can drive as far as Stechelberg, the last town on the Lauterbrunnen Valley road, and switch to the cable car discussed above.
Note: This information was accurate when it was published, but can change without notice. Please be sure to confirm all rates and details directly with the companies in question before planning your trip.